Advice on options (IBD -> PE)

Hello

I am in my final year of an engineering degree at a UK target. I am planning to do a masters degree next year.

I hold summer internship offers from Nomura IBD and BNP IBD. If my goal is to join large PE firms, hopefully a megafund e.g KKR, which offer would be better for me ?

Also, would I have a chance at applying straight for grad roles at GS/JPM/MS after a summer at Nomura/BNP ?

Finally, could I possibly apply for summer internships for the summer AFTER my masters degree? Would this be better than applying for grad?

Thanks