100NL rags flop bottom two pair

[Brighton Belle]

I posted this in Small Stakes but suspect I might get more help here:

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First orbit for me at this table so no reads.

When I was in the SB I reraised the shortstack currently in MP2 and put him all-in on a J-high flop; my QQ lost to his AK when he hit on the turn, so my image might be a) competent, b) tilting or c) both!

How does this look (apart from 'fold PF')?:

iPoker skin
No Limit Holdem Ring game
Blinds: $1/$2
7 players

Stack sizes:
SB: $105.00
BB: $60.70
UTG: $25.60
MP1: $107.95
MP2: $41.40
CO: $107.45
Hero: $94.70

Pre-flop: (7 players) Hero is Button with 5[img]/images/graemlins/spade.gif[/img] 3[img]/images/graemlins/spade.gif[/img]
UTG calls, 3 folds, <font color="red">Hero calls</font>, SB calls, BB checks.

Flop: 3[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/heart.gif[/img] ($4, 4 players)
SB bets $3, 2 folds, <font color="red">Hero raises to $13</font>, SB calls.

Turn: 6[img]/images/graemlins/spade.gif[/img] ($30, 2 players)
SB checks, <font color="red">Hero bets $20</font>, SB calls.

River: T[img]/images/graemlins/diamond.gif[/img] ($70, 2 players)
SB checks, <font color="red">Hero checks</font>.

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Am I missing a value bet on the river?

(I don't like that I've showed so much strength and been called on such a dry board.)

What do we do if we bet and get check-raised AI?