The most obvious answer is, just keep doing heroics and deal with the elitist hate.
Other than that, Strength is your primary stat. Period! So your weapon (agility) and your relic (intellect) need to be replaced with items with Strength. In addition to that, your helmet and one of your rings are itemized for tanking (Dodge, Parry, Block).
You want to focus on replacing your poorly itemized pieces asap, as well as the crafted pvp items you have equipped (Gloves, Belt, Pants). The stats you want the most are: Strength (Over everything else), Hit (To Cap), and Expertise (To Cap). At this point Mastery, Crit, and Haste are next in line. If you want to read more on this check out the post below.
As far as talents go, your 3 points in Clarity of Purpose are completely wasted and would be much better spent in Seals of the Pure (Tier 1 of the Protection Tree). You shouldn't be healing yourself at all in a dungeon (And if you absolutely have to, you should be using a 3 point Word of Glory).
I would personally replace Glyph of Judgement with Glyph of Templar's Verdict as it will yield a much higher dps increase than Glyph of Judgement.
I would recommend that you try and find a guild with friendly members that will run dungeons with you while you learn your rotation and collect better gear.
If you are not an addon purest and would like a rotation helper, CLCRet is a great tool to help you learn your rotation. It keeps track of all of your cooldowns and buffs and tells you via an icon what ability should be used next to continue your optimal rotation. It isn't perfect, but it will help you learn timings (like making sure Inquisition doesn't fall off).
If you want to read some really good information about Retribution Paladins (Specs, Rotations, Glyphs, Stats, Reforging, Gemming, Enchanting, Cooldowns, etc) I recommend this post on Elitist Jerks.
There are very few BoE trinkets, so not much can be auctioned away.
Darkmoon Card: Maelstrom is the prime target, usable at level 60 and may last you a while. It can be acquired for quite cheaply if you're in luck as well.
Sonic Booster is awesome if you're an engineer, but is limited by that.
The final option, Mercurial Stone is a prime option from level 65 and on. You can use two of them as they are not unique, and hit rating is a great DPS boost as you level if you're fighting enemies the same or higher level than you.
After those, there are Darkmoon cards available at level 70 (some of them are a definite upgrade) and a fair few more at level 80.
Overall I would just use the heirlooms to be honest.
Best Answer
I ran a time-walking dungeon which consistency dropped items of 830 ilvl.
War forged upgraded items went to 845 ilvl.
It's also worth mentioning that when we beat these dungeons some people got achievements for "heroic[whatever]". So Time-walking is the same difficulty as heroic.
Then I ran a heroic dungeon which consistency dropped items of 825 ilvl.
War forged upgraded items went to 840 ilvl.
**Summary: Time Talking seems to have slightly better gear. In addition, you can get weekend time-walking quests outside Violet Hold's entrance that give good rewards. **