What do you think about my x/c line on flop and turn, and would you prefer if I had bet both streets myself, perhaps folding out another T with a higher kicker? If he had bet river I would have folded.

PokerStars - $0.02 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BTN: 197.5 BB (VPIP: 23.41, PFR: 18.65, 3Bet Preflop: 7.06, Hands: 257)
Hero (SB): 103.5 BB
BB: 100 BB (VPIP: 41.11, PFR: 26.67, 3Bet Preflop: 0.00, Hands: 94)
UTG: 101.5 BB (VPIP: 27.61, PFR: 19.55, 3Bet Preflop: 5.45, Hands: 139)
MP: 116.5 BB (VPIP: 25.95, PFR: 23.57, 3Bet Preflop: 13.56, Hands: 162)
CO: 101 BB (VPIP: 50.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 2)

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has T 8

fold, fold, fold, fold, Hero raises to 3 BB, BB calls 2 BB

Flop: (6 BB, 2 players) T 5 Q
Hero checks, BB bets 4 BB, Hero calls 4 BB

Turn: (14 BB, 2 players) 6
Hero checks, BB bets 9 BB, Hero calls 9 BB

River: (32 BB, 2 players) 7
Hero checks, BB checks

the smaller you play the worse of an idea it is to check/call 2nd pairs.

I think it's okish otf, but would not be surprised if this is already -EV.
Ott you can safely let this go, assuming most opponents on this limit aren't nearly betting turn enough.

And yeah, for all these reasons you should rather bet the 2nd pair yourself otf.

Looks fine to me. I like the flop check as aside from a few spade draws, only better is calling. This is a flop that I think villain will stab a large amount of his hands with.

The turn is iffy. If I believe villain is a reg/somewhat thinking I call as I see a lot of people bet twice here wide with intention to check back river. If I think villain is a drooler/passive I fold turn.

This, but the opposite imo

Hand looks good to me. Folding flop would be a disaster. Think betting flop would be bad too because little worse calls, nothing better folds and we deny opponent the chance to bluff.