Can I use Cooper 225/553 R17 Discoverer True North tires all year?

Just purchased a used 2012 Subaru all wheel drive Forester. It came with a new set of Wild Peak AIT Trail tires 215/65 R16 on generic rims. Owner also provided Cooper 225/553 R17 Discoverer True North tires on original Subaru rims. Not sure why two sets of tires. Are the Coopers all weather or do I need to swap them out for the winter months. Also, confused about different sized rims. Obviously, I know nothing about tires and need advice. Thanks