PokerStars No-Limit Hold'em, $0.25 BB (6 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG ($21.90)
MP ($10.10)
CO ($18.55)
Hero ($51.15)
SB ($32.60)
BB ($25)

Preflop: Hero is Button with T, K.
1 fold, MP calls $0.25, CO calls $0.25, Hero calls $0.25, SB completes, BB checks.

Flop: ($1.25) T, K, 4 (5 players)
SB checks, BB bets $0.75, MP folds, CO folds, Hero raises to $3.5, SB folds, BB raises to $6.25, Hero calls $2.75.

Turn: ($13.75) J (2 players)
BB checks, Hero checks.

River: ($13.75) 5 (2 players)
BB bets $18.5 (All-In), Hero folds.

Final Pot: $13.75

I pretty much figured his range didn't include much that i was beating. Is this thinking correct or am I making my range look really weak?