I had the same problem with a new Stevens .308. Just the flyer part. Not only the 3rd shot but all subsequent shots. The gun has the sporting barrel and does heat up fast. The first 2 shots are one hole and after that they string. After running a couple hundred rounds it has improved quite a bit but if I slow way down it groups sub MOA. It is a great hunting rifle, 1 shot 1 kill. All shots in a 10 shot group would be a kill shot but I don't intend to shoot more than 1 at a time hunting. The gun does exactly what it is intended to do.
As for the primers pushing out, are you sure you are using proper (berdan, boxer) primer for the casings you reload?
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Last edited by dteed4094; 10-19-2010 at 08:42 PM.