Definitely sell it - it must be much too good to scrap. If you want minimum fuss and no risk you could try carconverter.co.uk
I think most of the 'cash for your car' type people won't quote for cars over 15 years old but carconverter say any age.
Or there's Autotrader but then you've got potentially quite a lot of hassle (crooks, people not turning up, time wasters, bouncing cheques or bank drafts, etc)
Or send it straight to auction - BCA etc.
Better all round if it has a MoT (but don't worry about any other tarting up - you're unlikely to recoup the cost)!
The battery should just need jumping and you may be able to get the tyre fixed at low cost (borrow a pump?)