These are often hands I get into trouble with in 6max as I almost always call down with them and I'm not sure if I should or not. In aggro games, it's probably correct to call down. I think the turn raise in hand 1 could be a fold.
Hand 2 is probably a flop fold.
Table wasn't exactly loose but not solid players either.

[/hand_history][/converted_hand][converted_hand][hand_history]Poker Stars, $3/$6 Limit Hold'em Cash, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite. View Hand #13561312

Preflop: Hero is MP with J T
UTG folds, Hero raises, 2 folds, SB 3-bets, BB folds, Hero calls

Flop: (7 SB) T A 9 (2 players)
SB bets, Hero calls

Turn: (4.5 BB) Q (2 players)
SB bets, Hero calls

River: (6.5 BB) 3 (2 players)
SB bets, Hero calls

Folding to the turn raise in hand 1 seems pretty bad. We have TP+OESD, you can't seriously put him on a range of only straights? If anything its a call turn, fold river if your sure he's never bluffing. However, I would call down, definitely some hands he can be semi-bluffing on the turn and we're pretty high up in our range. Save your folds for your for T9/JT/KJ hands on this board, that's more than enough.

Hand 2 is a pretty easy fold on the river. He'd have to be triple barreling all his PPs 99 or lower for a river call to be correct. Turn call is actually pretty close and I think we should consider folding here if villain doesn't mindlessly barrel the turn with most of his range.

Hand one is std. Hand two is usually a fold on the river, but there are some players with wide ranges pre who are barrely post. You should call against those.

Do you realise he has an open-ender on the turn? I think folding the turn would be terrible.

This might sound cold, but being honest for your sake.

If you are considering folding flop in hand 2, or turn in hand 1, there's a very low chance you are beating 3$/6$.

Both would be clear, common and large mistakes.

If you are playing that stake to learn, than dont mind this post.

Hand #1 is standard, hand #2 call flop, call turn, fold river against most.

hand 1 would have played the same, apart from maybe raising the flop (i think this is a hole in my game and im looking into it)
on hand two I think I am folding the river

Ya, turn is a call (in hand 2), but under certain circumstances its a very marginal call. For example, if villain checks all his PP's on the turn (not saying this is common) we're now in a very marginal spot and folding would be only a small mistake I believe.