[sthief09]

initiative with a pair preflop out of position headsup (thus in a small pot which means folding equity later is less valuable) is worthless, and you're an underdog vs his range, so the cap has no value. you just make yourself a bigger pot out of position.

your cap is excessive and it only leads you to overcompensating later, like with your turn 3-bet. let him 3-bet and take over. if you like the flop, checkraise the flop or turn.