Good news and bad news.
Good news is that very little can go wrong with he ballast except age, and they last a good long while. The green wire is not an issue, no need to ground the reflector.
Bad news is its either the bulb, socket or ignitor/capacitor, neither of which is real serious. (more good news)
1st, check the inside of the socket, there is a connector button down inside. make sure its raised enough for the bulb base to contact. On cheaper mogul sockets, there might be a copper strip. Again, make sure that it is raised high enough for the bulb to contact.
2nd, take out the little capacitor/ignitor and either test it or have it checked.
Third is the bulb. but Lowes has them for 17.95 USD
Is this a used unit from a grow shop, or is it a used homemade unit? Is it very old?