Brief about the candidate profile:
MBB consultant at a tier-2 European city with 2+ years of experience by the
time I'll apply
A few internships here and there at random FTSE100 companies in undergrad
Bachelor's degree from complete non-target schools - graduated with Distinction & top 2% of my intake class though
Gmat score:720
Fluent in 4 languages
What are chances for this profile to get into top schools for MBB?

Well reputed schools which are ranking globally and offers the best career opportunities in the campus.

No idea.

None of the information you've given is remotely helpful.

Smashing the 'Master of Bugger All' stereotype here.