$5 says it's a coil pack. You don't need to go to the dealer, you need a better mechanic.

$1,200 for injectors.. lmao

My daughter has same vehicle. Bought used with like 70k. Took in to get all the recalls done and they poked in the vin and it popped up the info of the previous owner. Asked if it was her said no and that they would update all the info in the system. Few weeks later check engine light came on i pulled codes and did some research. There was a tsb about left bank cylinder head leaks causing misfires. Ah f, changed plugs and coil packs no help. To back to dealer that did recalls, clt showed head and gasket required. Quote like $1900. Asked did this have engine and drivetrain warranty. Yes it did. They did work. Went to pick up, $1900 bill. Asked about the warranty, poked computer poof, owe nothing.
Dogged that bullet.
Hope you have the luck she had but bet its the same thing. Secret was getting the warranty transfer done in advance, some dealers charge but one in navasota did not.