A*AA will meet LSE Management and some other courses minimum requirements. I think Law may have other subject combination requirements, being more so a writing subject than Management which also has lots of writing in the course. Language capability is pretty important for both Law and Management so you will need to think carefully if you will be under serious pressure. Seriously, it is not just about the grades. Subject combination is important. And, of course, whether the course is right for you. Your PS will have to be stand out. I don't know about the reference letter. You can enquire with the Admissions Office directly. I don't think it is a good idea to apply both. It actually says you don't know what you want, and if you are not sure, then LSE is unlikely to make you an offer either. Remember, they have lots of candidates to choose from.