'in good health' rather than 'well in health' ; unless you'd prefer to leave that out totally.
I'd leave out the 'for me'.
I'd leave out the ',of course, ' and maybe put the comma after 'right' instead.
'writing to you is' rather than 'writing you this email is,'. The whole sentence seems awkward really. Try 'My reason for writing to you is to ask if you can give me any guidance as to whether I would be eligible, based on my educational and professional profile, to qualify for any other courses at your university. It would be much appreciated.'
Although I'd think they'd expect you to check out the entry requirements against your achievements. But it probably won't hurt to ask.