I don't think it would be wrong. You are there just for a week so i am quite sure you would not have a lot of dependencies yet. I just hope you are not changing just because of financial reasons. Try sitting down with the HR or the person who hired you and politely explain your situation.

That would be a very distant possibility. Chrome is indeed being used by a lot of Apple users however, the loyalty and fan base of any and all Apple products is too big and, pardon me, egoistic. They would not let it go that easy