I got in contact with Solaïre, a 14/14H prot pally from Silvermoon, and below is his analysis. I plan to make the changes he suggested for the two fights in particular, as well as reviewing my glyph + talent usage for the other fights.
I'm assuming, since you requested help in Treckie's stream, that you're the prot paladin that goes by the name of "Savedya". I've gone over the provided logs in detail, and compared your logs to my own on two marquee bosses - Sha and Juggernaut - the logs of me to which I've compared you are these, for reference: http://worldoflogs.com/reports/rt-u4dxz6ye3yv0tlo0/details/1/?s=3110&e=3450
The first thing that immediately stands out to me, overall, is that you're doing very well for yourself. I rarely open a prot paladin log and see uptimes and ability usage ratios that are almost identical to my own, but with regards to you, this is exactly the case. Your EF uptime is high without having a low BoG uptime, your SotR uptime is acceptable, and your CS:J ratio is an almost perfect 3:2. There are no fundamental things that need improvement, and this in and of itself is an excellent start.
What I do take issue with, however, is your tendency to choose sub-par glyphs. Glyphs may seem like little things, but for prot paladins more than any other class, really, optimal glyph choices on a fight-to-fight basis make or break the difference between a solid paladin and an excellent one.
Take Sha, for example - you've taken Light's Hammer and Glyph of Holy Wrath here; that much is apparent from the logs. First of all, I disagree vehemently with the choice of Light's Hammer on this fight. Your DPS should be taking care of Reflections handily, which makes the DPS contribution from Light's Hammer negligible, and players are on the move very often, which makes the healing utility of LH limited on this fight. During progression, I personally took Holy Prism on this fight, but since it is significantly devalued in 25 on fights with little constant damage, I currently use ES instead. I would also strongly consider Glyph of Focused Shield and the minor Glyph of Focused Wrath on this fight - the only thing that matters here is boss DPS, and I feel you could perform better on this metric. You'll notice, in fact, that with a more suited glyph setup (and, granted, a casual Multistrike trinket), I manage to outperform you by almost 60k on this fight, despite having almost 15% less damage on the adds. The same issue repeats itself on Juggernaut. Despite this being a purely single-target fight, you do not seem to have taken Glyph of Focused Shield, and once again, you've chosen Light's Hammer. Neither of these choices are acceptable, given that on Iron Juggernaut, players should never, ever, ever be truly stacked up enough for LH to do anything of value. Make sure to take the glyph, and consider using either Holy Prism or Execution Sentence, depending on how much help your healers need keeping people alive.
One last thing - and this is perhaps the most damning issue I see in your logs - you are a paladin. To be able to say that you are playing your class at 95% of its potential, simply tunneling your rotation and defensive CDs like most other tanks do is wildly insufficient, and in general, you seem to do this too much. I see very few LoH casts and very little EF blanketing done - in fact, I do 10% more of my total healing on people that are not myself than you do.
To sum up, while your fundamentals are extremely solid, and will easily take you all the way to 14/14 HC, the finer points of playing prot paladin can still be improved. You should direct your focus to making better choices of glyphs and talents, and to better employing your substantial utility. So say I, Solaïre, 14/14 HC and top 50 Proraiders-ranked prot paladin of Malorum, Silvermoon EU.
I'm assuming, since you requested help in Treckie's stream, that you're the prot paladin that goes by the name of "Savedya". I've gone over the provided logs in detail, and compared your logs to my own on two marquee bosses - Sha and Juggernaut - the logs of me to which I've compared you are these, for reference: http://worldoflogs.com/reports/rt-u4dxz6ye3yv0tlo0/details/1/?s=3110&e=3450
The first thing that immediately stands out to me, overall, is that you're doing very well for yourself. I rarely open a prot paladin log and see uptimes and ability usage ratios that are almost identical to my own, but with regards to you, this is exactly the case. Your EF uptime is high without having a low BoG uptime, your SotR uptime is acceptable, and your CS:J ratio is an almost perfect 3:2. There are no fundamental things that need improvement, and this in and of itself is an excellent start.
What I do take issue with, however, is your tendency to choose sub-par glyphs. Glyphs may seem like little things, but for prot paladins more than any other class, really, optimal glyph choices on a fight-to-fight basis make or break the difference between a solid paladin and an excellent one.
Take Sha, for example - you've taken Light's Hammer and Glyph of Holy Wrath here; that much is apparent from the logs. First of all, I disagree vehemently with the choice of Light's Hammer on this fight. Your DPS should be taking care of Reflections handily, which makes the DPS contribution from Light's Hammer negligible, and players are on the move very often, which makes the healing utility of LH limited on this fight. During progression, I personally took Holy Prism on this fight, but since it is significantly devalued in 25 on fights with little constant damage, I currently use ES instead. I would also strongly consider Glyph of Focused Shield and the minor Glyph of Focused Wrath on this fight - the only thing that matters here is boss DPS, and I feel you could perform better on this metric. You'll notice, in fact, that with a more suited glyph setup (and, granted, a casual Multistrike trinket), I manage to outperform you by almost 60k on this fight, despite having almost 15% less damage on the adds. The same issue repeats itself on Juggernaut. Despite this being a purely single-target fight, you do not seem to have taken Glyph of Focused Shield, and once again, you've chosen Light's Hammer. Neither of these choices are acceptable, given that on Iron Juggernaut, players should never, ever, ever be truly stacked up enough for LH to do anything of value. Make sure to take the glyph, and consider using either Holy Prism or Execution Sentence, depending on how much help your healers need keeping people alive.
One last thing - and this is perhaps the most damning issue I see in your logs - you are a paladin. To be able to say that you are playing your class at 95% of its potential, simply tunneling your rotation and defensive CDs like most other tanks do is wildly insufficient, and in general, you seem to do this too much. I see very few LoH casts and very little EF blanketing done - in fact, I do 10% more of my total healing on people that are not myself than you do.
To sum up, while your fundamentals are extremely solid, and will easily take you all the way to 14/14 HC, the finer points of playing prot paladin can still be improved. You should direct your focus to making better choices of glyphs and talents, and to better employing your substantial utility. So say I, Solaïre, 14/14 HC and top 50 Proraiders-ranked prot paladin of Malorum, Silvermoon EU.