There was an recall for the valvetronic, in the past, look for Google a repair is not cheap.

You have a shortlist of possible problems, check if some stuf is already, otherwise keep in kind that those repairs will find there way to you (and your wallet) in time.

My 2 cents. If the car looks clean and Well treated, bring it to the BMW dealer for a check (cost a few quit) and make a decision. They also can read out the key, and see if the car was at the dealer.
Make up your mind after inspection, so you can Bargain the price.

Also there is a recall for the 2 front airbags ( free of charge) replacement.

When I purchased my car I made a soort of plan an kept some reserve money tho take car of some thinks, some of them preventive.


And every car you look at will have some issues.