The car i have now is 16" wheels. Would it be fine to put a new pair of wheels and rims on it if its a newer model?

More likely not......Technology and designs change frequently. Take ameasuring tape and start at one lug nut,measure to the third lugnut(bypassing one lug) and read your measurement.This will give you the lug pattern. Measure it to the new rim and you will be able to tell.