A7o SB

PokerStars - $1.39+$0.11|125/250 Ante 30 NL - Holdem - 6 players
Hand converted by PokerTracker 4

MP: 11.38 BB (VPIP: 15.79, PFR: 13.89, 3Bet Preflop: 0.00, Hands: 40)
CO: 7.3 BB (VPIP: 12.82, PFR: 10.53, 3Bet Preflop: 0.00, Hands: 40)
BTN: 7.76 BB (VPIP: 5.41, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 40)
Hero (SB): 14.96 BB
BB: 12.8 BB (VPIP: 12.50, PFR: 10.81, 3Bet Preflop: 0.00, Hands: 40)
UTG: 5.8 BB (VPIP: 13.16, PFR: 11.11, 3Bet Preflop: 0.00, Hands: 40)

6 players post ante of 0.12 BB, Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 2.22 BB) Hero has 7♦ A♥

fold, fold, fold, fold, Hero raises to 3 BB, BB raises to 12.68 BB and is all-in, fold

BB wins 6.72 BB

basicy i was fake shoving. did i do right here?
iv would shove 66+, A9s+ , KJ+. this range should be nuts enought?