PokerStars - $1 PL Hi FAST (6 max) - Omaha Hi - 6 players

Hero (BTN): $103.04
BB: $100.00 (VPIP: 35.90, PFR: 28.21, 3Bet Preflop: 0.00, Hands: 41)

SB posts SB $0.50, BB posts BB $1.00

Pre Flop: (pot: $1.50) Hero has Td Ts 4c 4h
fold, fold, fold, Hero raises to $3.50, fold, BB calls $2.50

Flop : ($7.50, 2 players) 8s 4d 4s
BB checks, Hero bets $3.58, BB raises to $8.16, Hero calls $4.58

Turn : ($23.82, 2 players) 8d
BB bets $10.00, Hero calls $10.00

River : ($43.82, 2 players) 3h
BB checks, Hero bets $20.93, BB raises to $78.34 and is all-in, Hero calls $57.41

BB shows 7d 8c 8h 5h (Four of a Kind, Eights) (Pre 37%, Flop 5%, Turn 100%)
Hero shows Td Ts 4c 4h (Four of a Kind, Fours) (Pre 63%, Flop 95%, Turn 0%)
BB wins $197.70

Did I do anything wrong? Felt like he had quads, but like couldn't fold at the time.
Am I only beating air in this spot.