He was simply a doctor-physician. He would help hurt patients of his, mostly sailors, when they would get in bar brawls. He was really skilled, and Jane took after his abilities from memory when she...
They are equally grammatically correct. Where 'I' would be correct (subject of verb) 'Jane and I' will obviously be correct. Where 'me' would be correct (object of verb) 'Jane and me' will obviously...