I'm thinking of getting new rims for my car as it is all stock. Would 20x10s in the rear and 20x8.5s in the front fit? Or would it rub? Stock suspension.

 

It depends on the size tires that you put on the wheels. Generally yes those wheels should fit, if they are sized correctly for the car (offset mainly)

Here's what you can do to nail it down:

1) check what size tires you have now, write it down (the full size code, make, model)
2) look up those tires on Tire Rack, look at the "specs" tab, and take note of the overall diameter, write it down (probably 27.2" but I am not sure for your car)
3) look at American Muscle and other places that sell wheel/tire packages to see what they sell for your car, take note of the tire sizes that they suggest for 20" wheels
4) look up the new tires your are considering on Tire Rack or elsewhere, look at the "specs" tab and check the "rim width" and "diameter" -- rim width should match the wheels you are considering buying; diameter should be close to the original tires or no more than about 1/2" bigger . . . keep playing with sizes until you find something that works

or go to American Muscle or LMR and see what they offer for your car, if they have something that looks good then that is the simple solution

I think you have TPMS (Tire Pressure Monitoring System) so make sure you get the right TPMS sensors that are compatible with your car