1. Bet the flop harder, I'd make it like $1.25 because I don't think he folds JJ or TT often to this sizing and it means that if he's taking some weird line with a big hand we can bet 3 streets and get stacks in. Defo raise the turn in order to shove the river and stack his AK, AA or whatever. If he has something weak that he's playing retardedly, he likely isn't sticking any more in on the river any way if you flat.

2. Just go bet/bet/bet here. We really don't want to allow him to check back a Q or a K on this turn and i fisagree that he auto bets his weaker sd value hands that will call 3 streets. Again, just get your three streets and don't risk the turn checking through - if it checks through the pot's too small for us to stack him with a single bet on the river. If he does bet the turn with a Q a c/r from you prolly looks scarier than you just betting the turn and river so if anything you porobably fold out more by c/r.