This Set....
....Needs in-person inspection before agreeing to buy. I see or sense several issues:
1) Since it's likely brushed chrome, an inspection for rust would be helpful.
2) There is an area to the left of the left rear burner that looks as if it might be wear-through of the chrome. It could also just be come sort of staining from cooking grease, etc.
3) That hood is not clean, and that often means a gunked-up, inoperative fan. The cracked glass is not going to be fun to fix, though a glass house could fix you up with frosted glass. You'd just have to do without the "GE" logo.
4) The gunk on the hood could also be affecting the operation of the pushbuttons. At the least, they'll be huge fun (sarcasm) to clean.