AJ against calling station. terrible turn and river

Not happy with the turn or river. How do you play it. Villain is very loose passive but only after 30 hands. 70+% of flops but not much raising.
Im TAG but I very much doubt hes noticed.

That river bet was a ment to be a blocking bet but its probably just a spew given that board.

What do you do on:

a) turn
b) river
c) River after he raises me as played.

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) FTR converter on zerodivide.cx

BB ($30)
UTG ($16.95)
Hero ($11.20)
MP1 ($9.20)
MP2 ($9.90)
CO ($8.30)
Button ($12.15)
SB ($4.25)

Preflop: Hero is UTG+1 with J, A.
1 fold, Hero raises to $0.50, 2 folds, Button calls $0.50, 2 folds.

Flop: ($1.15) J, 3, T (3 players)
Hero bets $1, MP1 folds, Button calls $1.

Turn: ($3.15) K (2 players)
Hero bets $2, Button calls $2.

River: ($7.15) 9 (2 players)
Hero bets $3.5, Button raises to $8.65, Hero folds.

Final Pot: $19.30

Well I put him on QT or QJ so your beat... He doesnt have K because he woulda reraised ya right there on the turn... river he hits the straight and works ya over...

As for your play on the turn it is fine to see if he hit king which you can be pretty sure he didnt... but him holding QT QJ hes getting pretty decent odds 2.5:1 odds almost for about 14 outs about 3:1 ehh not perfect but you said hes LAGGY so they will make this call a shitload

As for your play on the river I think its a little excessive value bet, just 2 dollars is fine here with me there is a lot of betting high pot for a .10bb dont you agree?

As for your play after he reraises you, I am 95% sure ur beat I lay this down no questions asked dont need to be throwing away any more with a dead hand