So, for that application, I think what you have will be fine. It may sqeak a little and won't be the smoothest, but it will do the job. Ideally, you'd have some kind of bearings between the wheel hub and axle to smooth everything out, but your clubs will be fine on this.

Depends a lot on what the intended use is of whatever you're making. Does it need to hold a lot of weight or move at high speeds? If you're building a garden cart, this will.be fi e, if you're building a go-kart, not so much.