HU SNG two pair... do i overvalue my hand here?

[DennisGPunkt]

Poker Stars, $6 + $0.25 NL Hold'em Tournament, 10/20 Blinds, 2 Players
LegoPoker Hand History Converter

BB: 1,375
Hero (SB): 1,625

Pre-Flop: (30) J[img]/images/graemlins/spade.gif[/img] 9[img]/images/graemlins/club.gif[/img] dealt to Hero (SB)
<font color="red">Hero raises to 60</font>, BB calls 40

Flop: (120) T[img]/images/graemlins/diamond.gif[/img] J[img]/images/graemlins/heart.gif[/img] 9[img]/images/graemlins/diamond.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets 75</font>, <font color="red">BB raises to 220</font>, Hero calls 145

Turn: (560) 4[img]/images/graemlins/spade.gif[/img] (2 Players)
<font color="red">BB bets 300</font>, <font color="red">Hero raises to 1,345 and is All-In</font>, BB calls 795 and is All-In

River: (2,750) 7[img]/images/graemlins/diamond.gif[/img] (2 Players - 1 is All-In)

Results: 2,750 Pot
BB showed Q[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/club.gif[/img] (a straight, Nine to King) and WON 2,750 (+1,375 NET)
Hero showed J[img]/images/graemlins/spade.gif[/img] 9[img]/images/graemlins/club.gif[/img] (two pair, Jacks and Nines) and LOST (-1,375 NET)

I thought he was capable of making this on a draw...