LLB-->ib analyst London-->MBA?

I am a Canadian wrapping up my LLB at LSE with an upper-second class degree (roughly converts to 3.4-3.7, not really sure exactly) and will be working at Lazard London starting in August. In terms of future earning potential and cache in general, I have my heart set on a top MBA program after 2 years as an analyst. My question is this, does the 'myth' about Laz being a fast track into HBS apply for the London office, as there isn't so much of a culture of doing this in the UK (I have signed an indefinite contract, as opposed to doing a pre-agreed stint as is the norm at most US offices who realize many analysts won't stick around longer than 2 or 3 years)?

Secondly, does having left my home to study and later work in London provide viable 'international experience' in the eyes of MBA recruiters ie: might this give me a leg up compared to Americans who have never left the country?

And finally, while league tables place LSE highly, will it be regarded with the same zest as an ivy (it is technically ranked higher than many 'great' US schools)? Oh, and correct me if I'm wrong but does having done a law degree at undergrad set me aside at all (I am going for that priceless combo of liberal arts undergrad+finance experience that is so valued by B-schools)?