eye bolt is most likely a tow hook for the front end of the vehicle. (Don't have a PM yet, but have seen this with many other vehicles.) Look for a cap on the bumper of about 2"x2", pop it off, and there will be a spot to install that bolt. No idea on the other item, but if it fits through the eye, it may be used to create a "T" to turn the bolt.
The black plastic thingy is a handle used when you crank the spare up and down if I remember correctly. I found it easier to use a air wrench with a socket on it or just a regular ratchet. I seem to remember the socket size is the same sauce as the lug nuts 21mm