An exercise in hand reading... Reasonable?

[Malachii]

Villain in this hand is a 34/7/2

Here's my reasoning on the call, and I feel it's important.

On the flop: Villain isn't checking a K on a board this draw heavy. He might check top two pair, but probably not. Therefore, we can remove a K from his likely holdings.

On the turn: Villain could be calling with a number of hands here, a Jack, a naked A [img]/images/graemlins/spade.gif[/img], some sort of medium pocket pair or possible 55 or 66, or something like 78s.

On the river: Villain probably isn't going to bluff a hand that has show down value. We can therefore remove a hand like AJ or 88 from Villain's possible holdings. We have therefore removed any K, and J, or any medium pocket pair. He could have two pair or a set, but he could be bluffing with a draw that he picked up on the turn. After thinking this through, I decided to call. Is this reasonable?

Party Poker No-Limit Hold'em (NL$100) <font color="#0000FF">(5 handed)</font> link

Button ($236.13)
Hero ($120.85)
BB ($58.30)
UTG ($180.15)

Preflop: Hero is SB with 9[img]/images/graemlins/diamond.gif[/img], 9[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 folds</font>, Button calls $1.00, <font color="#CC3333">Hero raises to $4.50</font>, BB calls $4.00, Button calls $4.00.

Flop: ($15.00) J[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, BB checks, Button checks.

Turn: ($15.00) 6[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets $7.00</font>, BB calls $7.00, Button folds.

River: ($29.00) 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">BB bets $15.00</font>, Hero calls $15.00.

Final Pot: $59.00.