2 Hands from 10NL - Check raising??

Hand 1:

Villain is 27/12 AF is 2.3

Should I just be dumping this hand on the flop after the weak C/R. Do we see many check raises with air at micro stakes?

No-Limit Hold'em, $0.10 BB (6 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

UTG ($13.70)
MP ($22.80)
CO ($10)
Hero (Button) ($36.05)
SB ($5.25)
BB ($12.55)

Preflop: Hero is Button with 6, 6
3 folds, Hero raises $0.40, 1 fold, BB calls $0.30

Flop: ($0.85) 3, 10, 8 (2 players)
BB checks, Hero bets $0.60, BB raises $1.60, Hero calls $1

Turn: ($4.05) J (2 players)
BB bets $1.10, Hero ?

Hand 2:

Villain is 22/20 AF is 1.1

Not sure why I limped in here with this hand, may have been concentrating on another table and called without thinking about it. The flop Cbet is pretty weak, should I be thinking about a C/R to try and push him off the hand?

No-Limit Hold'em, $0.10 BB (5 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

MP ($13.70)
Button ($21.80)
SB ($9.90)
Hero (BB) ($31.05)
UTG ($7.65)

Preflop: Hero is BB with 10, A
1 fold, MP raises $0.40, 2 folds, Hero calls $0.30

Flop: ($0.85) 3, 9, 8 (2 players)
Hero checks, MP bets $0.40, Hero ?

1.Microstakes C/R are a serious thing to consider.They rarely do it with air,and villain's stats looks ok.Im folding here.What do you put him on here on his BB defending range?

2.Bad limp,we miss,we fold.No need to get pesky in microstakes.That CBet is half pot.Im saying its pretty standard.Its not like he's betting 0.10 or 0.25.
If you C/R and failed,whats your plan on the turn?

Hand 1: even if he has some kind of straight draw like QJ, J9, J7, or 97, villain still has plenty of equity against us. By calling, all we're hoping for is that he doesn't bet the next street. When the J comes, we're behind all those hands I mentioned and now all we're beating is a total bluff.

Hand 2: Villain's range isn't in great shape on that flop so it's not a horrible board to play back on, but the problem is that we don't have a lot of equity either if called. The more relevant stats in this instance are Flop c-bet % and Fold to Flop Raise. If these are both pretty high, a check/raise is worthwhile. Otherwise we might as well just fold with the minimal equity we have here. A check/raise is repping a pretty unbalanced range of hands: TT-22, QJ, JT, 76s, or a total bluff. Most of those hands can't stand a 3-bet or a float on a blank turn, not that our opponent is that sophisticated. It's probably better to just fold here. If he calls and then we hit our A or T on the turn, do we like our hand?

Fold hand 1 for sure we have no way to gauge where we are on the turn after calling and cant stand a 2nd barrell ever. Min riases are annoying but jus fold here then stack the fucker when he min raises and lets you hit your gutshot next time.

Hand 2 is just the sorta board I'd play back at a weak half pot looking c bet with. Problem is we have no equity which makes a turn barrell bad if he calls. It's spewy to c/r without better reads here when all turns are gonna suck if we get called.

#1: ship into the muck, check/raise is srs business.

#2: I know it may have been a mistake call here, I had a big leak before with overvalueing ATo and ATs even PF i would consider chucking (sometimes id 3bet OB but only as a bluff if villain steal% is to high)

Whats villains cbet flop%?, if its high i like floating here but only rarely. As played check/fold. etcetc