This is clearly a Northern Parula. The problem with the wingbars is that, because of molt, the bird’s missing most, though not all, of the feathers of the median & greater secondary coverts, the feathers whose white tips constitute the wing bars. You can pretty clearly see two pinfeathers coming in at the base of where the greater secondary coverts would be, in the third picture. And you can see one feather left in the greater sec. coverts that has a white tip. It looks to me like the bird does indeed have a not-very extensive dull yellowish throat, at least right at the center. And a MacGillivray’s should have pink legs, and no white-tipped feathers on the wings.