PokerStars No-Limit Hold'em, $0.50 BB (6 handed) FTR converter on zerodivide.cx

Button ($23)
Hero ($53.95)
BB ($30.35)
UTG ($23.10)
MP ($14.40)
CO ($1.45)

Preflop: Hero is SB with J, J.
1 fold, MP calls $0.50, CO raises to $1.45, 1 fold, Hero calls $1.20, BB calls $0.95, MP calls $0.95.

Flop: ($5.80) T, 2, 7 (4 players)
Hero bets $4, BB raises to $8, MP folds, Hero calls $4.

Turn: ($21.80) 5 (3 players)
Hero checks, BB bets $3, Hero calls $3.

River: ($27.80) 4 (3 players)
Hero bets $5.5, BB calls $5.50.

Final Pot: $38.80

Results in white below:
Hero has Jh Jc (one pair, jacks).
BB has 9c 2d (one pair, twos).
CO has Ad Kc (high card, ace).
Outcome: Hero wins $38.80.

Do I bet the river more? I'd call it more of a blocking bet than a value bet.