Ranger Dave
If factory loaded ammunition fires and your reloads do not then there is your answer. Your primers need to be seated with a preload on the anvil of the primer as shown below.
The primer will not fire if the anvil is not seated and touching the bottom of the primer pocket.
The primer will not fire if the firing pin does not give the primer a hard solid hit.
Did you disassemble the bolt and possibly not get back together properly.
When was the last time you cleaned the bolt, if the rifle is new you could have manufacturing debris inside the bolt.
Everything you read here in these postings is guesswork and you are the one holding the rifle in your hands and you have been given some possibilities.
http://www.savageshooters.com/forum.php is a good place to ask questions if the problem turns out to be bolt related.
The fact that factory ammunition fires and your reloads do not makes my primary "guess" the primers are not seated properly. You also may benefit by uniforming the primer pockets to a uniform depth and proper firm primer seating.
I have been reloading for over 46 years and seat all my primers by hand and feel the primer hit bottom. When a primer pocket is the correct depth the primer will be .006 to .008 below the surface of the cases.
Do not be afraid to gently but firmly push on the primer to seat it in the primer pocket, too many people think when the primer is flush with the base of the case that it is properly seated.
Another wild ass guess is a sizing problem with your belted cases and the "case" causing the problem, so examine your cases and make sure the chamber is clean of all dirt and carbon in the neck/throat area.