You can take the approach that seeing a flop for .12 or .2 is fine with those hands and you'll continue as long as you hit the hand hard (like 2 pair or OESD). Figuring that you'd spend that much on the hand if you limped in. I'm not sure that there is anything wrong with not getting involved with hands where you're 50/50 staring out and you'll never really know where you stand.

I think Axs Axo is a judgement call, recently Axs hasn't been working out that well for me. I don't feel comfortable with top pair or even two pair.

You may want to consider having a "standard raise" that you do for all hands. (like .20) Use that for everything AK/ 88+/AQs, etc. That way noone will know whether the A on the flop made your hand or is scary. That also allows you to take down a lot of small pots with a c-bet. Also if you regularly throw out a c-bet after the flop that will help build the pot when you do have a strong hand.

In $5NL with a LAG you really need to choose your spots carefully. They could be on a draw, have 2 pair or nothing. I'd suggest reraising strong (with a hand to back it up). Especially if you showed preflop aggression.

Good Luck