Very typical of Awana wheels. Sometimes they are so bad that you can't even get it to spin on the supplied axles. There is typically a ridge at the outermost edge of the hub. If you put a pin gauge that just fits in from the inner side of the hub you will find that almost nearly all wheels it will not go the whole way through with the same effort. It will hit the imperfection on the outer side and stop. and you must give it more 'effort' to poke out the other side. Our rules state you must use the parts in the kit, so we don't buy wheels. If you're rules keep you in the clear and allow you to buy parts. you will save a lot of headache by just buying what you need. It can be fixed, it just takes time and patience. The shortcut to make it better but not great is to put a pin guage (or similar polished rod) in the hole and roll the wheel with some downward pressure on a flat surface thereby pressing the bits of plastic back flat into the hole. The plastic on an awana wheel is very soft and allows some "mashing" if you will. Not ideal but works to free up wheels that won't spin on axles or tame some wobble.
And if some extreme cases the axle hole can be so misaligned (off axis) with the outer edge of the wheel that its just better to get a new wheel.