What would you do here?
The BB villain is running like 42/14/43 ...over 43 hands

EDIT: Btn is 20/13/52...over 100 hands and loves to come over the top with pos and practically ATC
 I am showing 14/10/43 over 120ish hands and have never showed down any type of bluff

Everleaf $0.05/$0.10 No Limit Hold'em - 9 players - View hand 1540943
DeucesCracked Poker Videos Hand History Converter

Hero (MP2): $21.04
CO: $9.00
BTN: $22.22
SB: $4.70
BB: $10.98
UTG: $3.26
UTG+1: $5.74
UTG+2: $10.14
MP1: $3.71

Pre Flop: ($0.15) Hero is MP2 with A K
1 fold, UTG+1 calls $0.10, 2 folds, Hero raises to $0.40, 1 fold, BTN raises to $1.20, 1 fold, BB raises to $4.15, 1 fold, Hero calls $3.75, BTN calls $2.95

Flop: ($12.60) 7 4 3 (3 players)
BB bets $6.83, Hero folds, BTN folds

Hand 1: I'm probably re-raising again looking to get stacks in pre if possible. Considering BB's range and BTN's tendency to repop with ATC, you are likely ahead. Only AA/KK really hurts you. Anything else you are either crushing or flipping against, which is fine because of all the extra money in the pot already.

Hand 2: Kinda weird that BB would min-reraise with a caller already in. It's either really dumb or it's a big red flag for a monster hand. Looking at his stats, I have a feeling he is pulling something. I'd probably end up flatting, seeing the flop, and getting value-towned when the K hits and BB shows aces.

Hand 1:
What are BB's 3bet/4bet stats? What are BTNs 3 bet stats? How often has he come over the top on the BTN?

Calling is the worst choice here after a 3 and a 4 bet. You're announcing you've got a big hand so if you pair up you're not getting any action from the smaller pairs. Ax will come along if you end up getting them outkicked, but if you're folding when you miss then this is the perfect hand for them to shove AJ with. Either you end up calling 40 BB to fold or you call 40BB to not win more than is in the pot pre.

Not to mention, that after you call, BTN can raise again. You are stuck between two aggressive players, one who has 200 BB like you do. Folding here is not a bad option. Having said that in game I'm probably raising to $11 to but the BB all in and shoving any flop if the BTN comes along.

Hand 2:
45/9 is not maniac but rather loose passive. This is the type of player you want to play with because they call with anything. Raise them big pre, let them call with half their hands and collect their chips when they fold to you small C Bet and they miss. Or value town them when with your big hands when they catch a little something. The point is, you don't raise to get them to fold pre. You raise as big as they'll call so you can collect those chips when they fold most of the flops.

As Niles said the min raise is terribad and if it's not a misclick it means "OMG I haz Aces!". Just call pre, and be careful post. Actually he's only about 60BB so it's hard to get away from it if you do hit.