Hi, I was wondering whether I should apply for summer internship or a graduate position. I have no MC experience.I did sent out a great mix of applications - for graduate positions. So far I have only received rejections.If I were to apply for an internship - does it mean there'd be an interview for a full-time position afterwards?

If you've interned then you still go through the interview process when applying to a full-time position.Howeve, if you're a finalist then you won't be eligible for the vast majority of internships anyway.

I mention on my resume that I did an internship with an i-bank and a law firm. Should I get rid of that because it represents that I'm not really focused on a consulting career? I reflect certain selling points by mentioning that, but I could do the same by adding some ECs.

Those internships are probably half of your resume... I would leave them there and try to explain very well in the cover letter why do you want to work in consultancy.