I'm bored, so I actually read that wall of text. Anyway, here goes...
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horrible consistent bad beats, the terrible runs after a cash out, and the immediate great run of cards after joining a site
Selective memory. Do you keep track of anything? You said that you have PT, so you should be keeping track of sessions/hands? Perhaps if you posted your stats, people could actually help you with your leaks.
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I have turned 20 bucks numerous times as high as 1000 only to lose it all in a few days.
If you're losing your entire roll in a few days, then you are obviously playing too high. It seems like you may be able to beat very small limits, but are trying to play higher as soon as you get a little money. It is very possible that you can only beat the micro limits.
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I played 6-10 hours 5 or 6 times every week. I only played 1 2 nl and in total won over $14,000.
How many weeks and how many hours total did it take you to make $14k? What is your hourly winrate? As has already been said, live 1/2 compares to a very low micro limit online. I hope you're not playing 1/2 online because you think it compares to 1/2 live. Start with 20NL or something.
Are you kidding with the rake argument? Live rake is brutal and even worse if they have a BBJ. Get rakeback.