You could try to clean the dust and replace your thermal paste. Overheating is the most common issue for laptops when they boot and shut down after a while. Although in desktops it’s quite easy to clean the dust and re-apply thermal paste, in laptops it’s a bit harder. If you don’t know how to disassemble it, it could become really troublesome.

If it supports virtualization, you could try to follow a MacOS virtual machine guide.

Since format helped, it was probably a virus problem.

You could check with Can You RUN It if your hardware is compatible with the game you are trying to play. Although, if you say you could run the games before, it’s probably do to another problem. The most commmon reason for bad performance on laptop is overheating (besides bad specs). You could try to run some tests as described here and find out.