A brainless calldown

Very first hand at the table. Never played button before. It felt right at the time, but this has got to be way -ev, doesn't it? Should I bet/fold turn and if he calls turn, c/c the river or bet/fold?

Party Poker No-Limit Hold'em, $ Hero (5 handed)

SB ($72.66)
Hero ($50)
UTG ($50.70)
MP ($51.90)
Button ($51.25)

Preflop: Hero is BB with Ts, Tc. SB posts a blind of $0.25.
2 folds, Button calls $0.50, SB (poster) completes, Hero raises to $2, Button calls $2, SB folds.

Flop: ($5.50) Jc, 3c, 4c (2 players)
Hero bets $4, Button calls $4.

Turn: ($13.50) 6d (2 players)
Hero checks, Button bets $6.12, Hero calls $6.12.

River: ($25.74) 2d (2 players)
Hero checks, Button bets $15.03, Hero calls $15.03.

Final Pot: $55.80

i think he is value betting on river most of the time so i would fold then

Heres a similar hand to yours. See if you can spot the differences. I will post again later, I gotta go to school now.

***** Hand History for Game 5071562152 *****
$400 NL Texas Hold'em - Thursday, August 31, 15:15:03 ET 2006
Table Monster #1276995 (No DP) (Real Money)
Seat 2 is the button
Total number of players : 10
Seat 1: SONARfind ( $63.91 )
Seat 2: richieBJJ ( $224.60 )
Seat 3: mgajash ( $466.50 )
Seat 4: sundance_53 ( $377.04 )
Seat 5: heidi1034 ( $407.98 )
Seat 6: cwbeinbo6192 ( $420.97 )
Seat 7: blkblt2dan ( $634.18 )
Seat 8: sodaash ( $400 )
Seat 9: sevica ( $305.40 )
Seat 10: Beelzeboz0 ( $400 )
sundance_53 posts small blind [$2].
heidi1034 posts big blind [$4].

** Dealing down cards **
Dealt to Beelzeboz0 [ Jc Jd ]

cwbeinbo6192 folds.
blkblt2dan folds.
sodaash calls [$4].
sevica calls [$4].
Beelzeboz0 raises [$24].
SONARfind folds.
richieBJJ folds.
sundance_53 folds.
heidi1034 calls [$20].
sodaash folds.
sevica folds.

** Dealing Flop ** [ Qd, 9h, 5c ]

heidi1034 bets [$20].
Beelzeboz0 calls [$20].

** Dealing Turn ** [ 5d ]

heidi1034 bets [$50].
Beelzeboz0 calls [$50].

** Dealing River ** [ 2c ]

heidi1034 bets [$53].
Beelzeboz0 calls [$53].

heidi1034 shows [ 6h, 6c ] two pairs, sixes and fives.
Beelzeboz0 shows [ Jc, Jd ] two pairs, jacks and fives.

Beelzeboz0 wins $300.50 from the main pot with two pairs, jacks and fives.

The river in Renton's hand is clearly a blocker.