First of all the car won't start when the engine is hot. Because the starter motor get to hot right?

When the engine is warm and when coming to a stop the revs drop and wants to cut out, so got to keep on some revs but obviously not easy so does cut out from time to time then won't start up because the starters too hot!
So twice i've been in an embarrassing situation in the middle of the road with absolutely nothing i can do till the starter cools down.

Any suggestions please? I really want to keep this car but too many problems so far which is so annoying to say i've only just bought it The guy who sold me this car needs a good smack! Then again i'm a fool for buying it