2004 Saturn ion 2 quad coupe

When driving over 50mph, my front tires are making a thumping noise& feel like they’re shaking & wobbling. I was told rims were bent, & replaced the front ones, but not yet the back. The car is still experiencing same problem, but not as bad as before. Also, when I turn wheel slightly to right or left, it stops. Could the back rims, still in need of replacement, be causing these probes in the front? Or could it be a whole different issue?