Online 4/8 spot questions for all streets

[SuperSnort]

Sorry my memory of this hand is a little sketchy but i will try and regurgitate it as best as i can. My image is a LAGy one and villain in this hand is in CO and sat down only a few circuits ago( 6 seater table) and has worked his way up to just over 1000$ and hasnt shown down a hand yet but i saw him playing 2/4 3/6nl normally so he is playing tighter than normal as he has moved up stakes and i barely cover.

Im on the button with Ah9h and all 3 players limp to me so there is 36$ in pot so i raise up to 42$.
what do u think about that? too much? should i have just ilmped?

then everyone bar the SB call so there is 214$ in the pot preflop.

Flop As 9c 2d

it is checked round to me and i bet 175$ ish
how do you like this also with this hand?

only villain in CO calls

Pot 560$ish

turn comes a Qh completing a raindow board.

CO checks again and i fire out just over 320$. the villain thinks for around 15 secs and pushes all in for 800$ish so 480$ more.

what is your decision here and should i have checked turn? What do you think Villain could have here? Could he be bluffing here? Can you fold here leaving with around half stack in pot?

All replies and thoughts appreciated