2007 saturn vue v6 shakes at highway speeds, steering wheel has a lot of play

What is your question?

anything over 80 makes the Vue shake/vibrate pretty bad, but it's not a consistent vibration, it i let off the gas and coast it dies down. the steering wheel also has a lot of play in it, probably a good 15 to 20 degrees to counterclockwise. related, the steering wheel only has play in it when it falls out of the groove, or after I've gone around a left turn. if i'm just going straight there's no play at first.

What makes this problem better or worse?

worse at higher speeds

How long has your 2007 Saturn Vue had this problem?

few weeks