Would 'please give me the jacket' also be correct? As 'give me please' isn't something I would say as an English speaker.
'Please give me the/a jacket', 'give me the/a jacket please' are all correct translations. They just should be added as alternatives.
Another alternative is: Give me please the/a jacket.
Is it possible to say, "please give me this jacket."
You posted word for jacket in previous slide and then changed it!!