| If by "cage" you mean the front grill, it is possible that the grill is making the rattling by not being securely attached to the cabinet. You can remove it and see if it makes any difference.
Being used in and of itself is not a fault, just like a used car is not inherently a piece of junk. But if you bought it in bad condition, it will continue to be in bad condition until you repair it.
Turning up the volume just makes the bad louder. Don't expect a problem to go away just because you put more juice into it.
You need to isolate each of the 4 10-inch drivers and check if it is functioning correctly. It sounds like you're already focusing on the top left driver as bad, but you need to disconnect each one and test them individually. If the driver is bad, replace it. If multiple drivers are bad, it might be more cost effective to get a different cab.
It sounds like this was shipped to you: I would contact the person who sold this to you immediately and work out this transaction.
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