$7 AKo reshoving or not pre

Poker Stars No Limit Hold'em Tournament - 25/50 Blinds - 8 players - View hand 2375343
DeucesCracked Poker Videos Hand History Converter

MP2: t1455 1 BBs - VPIP: 10, PFR: 9, 3B: 3, AF: 1.9, Hands: 2867
CO: t1445 1 BBs - VPIP: 8, PFR: 8, 3B: 0, AF: 0.0, Hands: 12
Hero (BTN): t1425 1 BBs - VPIP: 20, PFR: 16, 3B: 6, AF: 3.1, Hands: 353556
SB: t2983 1 BBs - VPIP: 35, PFR: 14, 3B: 7, AF: 1.6, Hands: 479
BB: t1440 1 BBs - VPIP: 8, PFR: 0, 3B: 0, AF: 0.0, Hands: 12
UTG: t685 1 BBs - VPIP: 20, PFR: 16, 3B: 4, AF: 2.8, Hands: 542
UTG+1: t1870 1 BBs - VPIP: 42, PFR: 17, 3B: 0, AF: 0.0, Hands: 12
MP1: t2197 1 BBs - VPIP: 67, PFR: 25, 3B: 20, AF: 0.3, Hands: 12

Pre Flop: (t0) Hero is BTN with A K
1 fold, UTG+1 calls t0, 2 folds, CO raises to t350, Hero raises to t1425,

UTG+1 unknown filtered: 12 hands 4.0/42/8
CO= unknown filtered: 12 hands 0.0/8/8

Am I correct to assume that I can't flat here and it's either push or fold? What if we had TT/JJ? ..