1. If it will fire new ammo and not reloaded ammo, then there is something wrong with the sizing of the reloaded brass. It could be the brass isn't being sized quite enough. If you are crimping (which isn't necessary or even beneficial), you could be putting a slight wrinkle in the brass which could prevent proper chambering. Since a 22 Hornet is a rimmed cartridge, headspace is not an issue.
2. I'm a bit confused. You say "once fired new brass if I do not resize it." Firstly, if it's once fired, it isn't new. Secondly, if it's once fired, I would think you would HAVE to resize it in order to get it to hold a bullet.
3. Primers too hard for the hammer to touch of can cause a failure to fire. CCI primers would be most likely to cause this.
A few of other questions:
1. Are you able to close the action fairly easily?
2. When you try to fire, do you get any indentation in the primer?
3. Are you able to pull the hammer back to the firing position? If not, try closing the action a bit more briskly.
4. Is this the older style Contender or the G2?