Button stealing (confusing situations)

Ive been having trouble in particular situation when i raise from the button with Axo/Axs(since i never know if the BB/SB called with an Ace also). When my raise gets called by BB/SB and the board comes dry with an Ace I`m not sure what to put my opponent on and if i`m beat or not.. let me give you some examples..

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

CO ($10.00)
Hero (Button) ($10.00)
SB ($15.50)
BB ($9.00)
UTG ($14.50)
MP ($12.10)

Preflop: Hero is Button with A , 4
2 fold, Hero raises to $0.35, 1 folds, BB calls $0.25,

Flop situation #1

Flop: ($0.70) J

, 2

, A

(2 players)
BB bets $0.50, Hero ???

A) Do we fold/call/reraise against villain that's LAG and what about TAG?
B) What range do you put your villain on?

Flop situation #2

Flop: ($0.70) J

, 2

, A

(2 players)
BB checks, Hero raises to $0.50, BB calls $0.50


A) Should we have raised here?
B) What range do we put villain on once he calls our raise?
C) If our villain is LAG should we check with intention of check raising on the turn because of the dry flop?
D) Would you have checked behind if our villain was TAG in order to give them a chance to catch up on turn?
E) What if out TAG player checked with intention of check raising us(his stat show a lot of check raising), we decide to check behind , on the turn a blank card comes out and he decides to lead out for 2/3 of the pot, do we then Call/Fold?

Question #3

Flop: ($0.70) J

, 2

, A

(2 players)
BB checks, Hero raises to $0.50, BB reraises $2.00

A) What do we do? Different options against LAG vs TAG players?
B) What is the range we are putting our villain on if his TAG vs LAG?


PS... please tell me if your style is LAG or TAG since i believe there will be different opinions from those 2 kinds of players..

1.
Donk bets in general at the micro limits are weak imo,so im raising this every single time.
Im puttin villain on a J or under pair here.

2) c-beting here is 100% standard. I dont like checking behind because we are likely to have the best hand but its vulnurable,so we have to protect it.

3) this is completly villain depended but mostly this is a fold against both a TAG and a LAG but obvs. if villain is a maniac thats a diffrent story

2 ways to play.. one be cautious and just call in both situation.. more than likely he is testing your resolve...poker is an adrenaline game and some people really get their rocks off on bluffing.. The 1st situation i would have re-raised him since you have top pair and he made the action 1st.. He could just be trying to take control of the hand by exacting this type of confusion while holding something like 10Q.. The 2nd hand i would say be more cautious and call.. He could be playing trips or just be over betting to get you to fold.. This is where knowing the table history comes in handy.. Sometimes its good to call just to see what people are playing with..

Situations 1/2 I would most likely continue to bet on turn andd maybe check/call on river if board becomes too scary. Reason is you still got top pair even if you kicker is low. You got your backdoor flush draw and you can even hit a runner runner for a straight. You can also get 2nd pair and get immortal.
Situation 3 I would most likely fold. However, if he wants to trap you he would most likely check/raise you on the turn to get more value but this is of course my opinion.