Have you sat all your exams/coursework?
When do you expect your results?
Do you have your results?
If so, that would be sufficient.
If not, a letter from your institution confirming you have completed the course and awaiting graduation.
I hope this answers your questions. If so, kindly rate the answer and provide feedback.
If you have any further questions, please do not hesitate to ask.
Yes. The home office will already have details of your immigration history.