if i were you i wouldn't be concerned about "thinking outside of the box" (whatever that means). you didn't really give any justification for any play and based on the third hand i'm guessing your fundamentals aren't very good, so i'd just be trying to lean how a poker player thinks on a fundamental level. no offense, just being honest.
hand 1 seems fine.
2 - if your hand is suited preflop is fine, but you might should lean towards 3bet or folding if the hand is offsuit. i mean, with the small raise and the bunch of limpers i'm sure it's still fine if you're decent to good, but depending on your exact skill level it might be bad. 3bb raise after a few limps is usually some dumb hand tho so i prefer 3betting in most cases.
you say the T is a bad card on the river but you're almost assuredly being results oriented here. the T is about as blank as you can get since TT rarely bets turn and if he were any good he'd be checking QT there usually as well. the T is about as blank as you can get. however, on this board there aren't very many draws he could be betting turn with, and you'll have a lot of Qx after calling turn, so i would certainly consider folding the river. his PF raise size probably indicates weakness so that would make me more inclined to call. w/o any more info it's a tough spot so don't beat yourself up too hard.
3 - preflop is extremely bad. i would fold flop 4way.
your turn lead is quite bad. the turned diamond isn't any better for you than it is for him & he still has a cavalcade of AQ thru AA type hands that you don't have, so you're actually at a reasonably significant range disadvantage here. in that situation you want to check everything (you can lead as an exploit of course but you're probably not at the point where you're able to make plays like that). if you do decide to lead, you vastly prefer having a diamond in your hand (preferably the Kd) since that blocks flushes he can have as well as gives you additional equity, but you didn't mention that, so my guess is you're not thinking about stuff like that. you should be!
why do you put him on an ace on the river? can't he have two pair, a set, a flush, or a hand like JT with a diamond? and if you feel he's betting an ace on the river after your turn lead + river check, why did you even bother leading turn? generally someone who frequently bets Ax when checked to here would never consider folding an ace to your turn lead + river bet - nor should they. that would mean he was valuebetting almost as wide (or even wider) as he's calling!
i think you're usually supposed to checkfold here. i mean, your turn lead just reps a flush so it would be completely insane for him to vbet AJ on the river... mostly you're just hoping for some missed diamond draw and we'd need a little more info to determine if he has enough of those. dunno where he opened from but it had to be the HJ at the bare minimum so i don't think you're gonna see much else than aces up or better when he bets riv for this size.
sorry if this all comes off as abrasive but i don't mean it that way. saying your play is bad doesn't mean you're bad
- just that you're inexperienced as a poker player. that's ok, we've all been there. imo being totally honest about your play will help you out more in the long run than in the short run... you just have to be OK with that messy process of sucking at things when you're a beginner at them. that's life, hombre.
also like the other dude said i would certainly recommend a runitonce membership. even the $10 basic tier should improve your game significantly. good luck!