hm, in my experience LSE's central inquiries place is lousy, either they reply late, give wrong information or don't reply at all.
so, although they tell you explicitly to send all inquiries to that address, if you aren't getting any answers, i'd try elsewhere. perhaps e-mail the department you're interested in, or call them.
alternatively, you could just go ahead and apply (it's all online). it will cost you something but not the world, and then you will get definite answers
as businesses like LSE graduates, it is certainly not the most foolish move, career wise. but you could also, at the same time, try applying for those jobs you are interested in immediately. if you get your dream job without the LSE masters, it would save you a year and lots of money!