Internships in different banks

Good afternoon

I'd like to do a summer internship in the summer of 2021 (end of my third year) and in summer of 2022 (End of my penultimate year) as an analyst in IB.

I've some questions and I hope you can help me

1- It is possible to do two summer internships in the same bank? (2 consecutive years)

2- Is it possible to get a job as a first year analyst in the bank you've worked for two summer ago? For example, in the summer of 2021 i work for GS, summer of 2022 i work for JPM. Could GS hire me as a 1st year analyst in 2023? Or it can be seen in a bad way that I worked for a competitor bank between my first summer internship and my first year as an analyst?

3- If I take a course in financial modeling and M&A during this summer (i.e. Wall Street Prep). How likely is this course to increase my chances of being hired for a investment banking summer analyst?

Thanks!