Hand 1:

Generally speaking (no reads), I lead out. This is a draw heavy board with an ace... You're likely to get action anyways so why not bet out, not only to get value for your hand but also make the person pay to draw. The range of hands that would call your pre-flop raise are likely to have got a piece of this board, and giving your opponent a chance at a free card is a mistake IMO. I would opt for a weak lead (~1/3 to 1/2 the pot). It gives your opponent the chance to come over the top of you for typically a larger bet than he would have made had you simply checked to him. The weak lead implies exactly that, whereas a check-raise implies strength and your opponent would probably be more inclined to slow down or even fold. Even if he just calls your are getting at least some value out of your hand and a 1/3 to 1/2 bet is still enough to give improper odds for most draws.

Hand 2:

Don't even bother getting fancy or try trapping. Two pair is something you want to play fast. I don't treat it much different than having TPTK. This is another draw heavy board and you're betting the minimum. Why? You're giving your opponents an open invitation to catch up. Save the slow playing for your monsters, two small pair isn't one of them.