Firstly welcome to the OOF!
Its a long one but worth reading.....
Deary me, that has been a hard lesson on you for your first car. Really you should not have bought it until you (or you could have sked them to drive it for you while you gave them instructions of what you wanted the car to do) had been able to test drive it properly and the obvious leaking exhaust should have been been done by them immediately. The reason there was probably so little petrol was to prevent a decent test drive being done, its a very old garage trick! I am even surprised that they had not put a bit of paste on the leaking exhaust to get it past its warranty (if any)! There again, that was probably left so you could identify a small problem and they could then promise to repair it so making you have confidence in them. (another old trick).
I always ask to see the Service Record for the car - if it is not available (another old trick, just as the log book one not being available too) ask for the details of the last owner and ask them its history! If you are polite there is no reason why they should not inform you of the last keeper as it breaks no laws.
The advice you have been given by other OOFer's is correct - it is definitely not fit for purpose due to the fact that there are too many serious problems with it. The seller must have known of them too.
My advice is to contact the seller and inform him that you want a full refund or you intend to contact Trading Standards. Do not accept any offers of money off or repairs, they have had their chance and decided to try a rip off. Once they have refunded you report the seller anyway! Garages and sellers of that type need to put out of business. Trying to make a living is no excuse.
Why not try to locate car for sale on the OOF. When you have ask one of the OOF's in your area to accompany you, or meet you there to have a look at it. Not knowing your location I cannot tell you which 'travelling' OOF would be closest. These guys have many years experience of the good and bad points of Migs and know just what to look for.
Stick with it though - Migs are great cars, you just need to find a good one that suits you.
I think that this car was probably bought at an auction by them, given a quick clean and that was all. Low petrol level is another indicator of that.
GudLuk