5NL -push this turn with one card straight+NFD?

[checkmate36]

PokerStars No-Limit Hold'em, $0.02 BB (6 handed) Hand History converter Courtesy of PokerZion.com

saw flop|<font color="#C00000">saw showdown</font>

SB ($1.58)
BB ($1.54)
UTG ($6.74)
<font color="#C00000">Hero ($5)</font>
CO ($8.25)
<font color="#C00000">Button ($2.72)</font>

Preflop: Hero is MP with A[img]/images/graemlins/heart.gif[/img], 7[img]/images/graemlins/heart.gif[/img].
UTG calls $0.02, Hero calls $0.02, <font color="#666666">1 fold</font>, Button calls $0.02, SB completes, BB checks.

I should probably be raising to .10c or folding here. Is my limp terrible?

Flop: ($0.10) 6[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/heart.gif[/img], 8[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, BB checks, UTG checks, <font color="#CC3333">Hero bets $0.08</font>, Button calls $0.08, SB calls $0.08, BB folds, UTG folds.

I hoped to buy the button and get the option of a free card on the turn if I wanted one.

Turn: ($0.34) 9[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero bets $0.4</font>, <font color="#CC3333">Button raises to $0.8</font>, SB folds, Hero calls $0.40.

After reviewing my session I think I should have pushed here.

River: ($1.94) 4[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $0.96</font>, Button calls $0.96.

Does my river bet seem like the right size?

Thanks for any feedback.

Final Pot: $3.86