No neck sizing on a RUM? Hogwash! I reload for my buddies 300 RUM & I've got individual cases that have been reloaded 15 times just neck sizing. And that was during load development and accuracy testing! When you start getting a bit of resistance on a freshly neck sized case it's time to FL size, but as JE said, just until the cases chamber easily. All this baloney about RUM's can only be reloaded once (as the sales guy told my buddy) makes me laugh... a lot! Someone needs to read up on how to set up their reloading dies or (a slight possibility) they need a new barrel that's chambered correctly.
This is the reason I've been saying the RUM cartridges are better than the belted magnums, such as my .338 WM. The belt is an obsolete and useless leftover from long ago that's simply unnecessary today. Were I still young enough (or in good enough shape!) to go chasing after elk & big bears, I would have a .338 RUM instead of my WM... which, of course, would (has! and will continue to) still get the job done. Just not quite as efficiently as it could.
Tundra Cruiser, I don't really think there's a thing wrong with your rifle, although having the headspace checked certainly won't hurt anything. Do as JE said, get a neck sizer and don't worry about the apparent bulge in the base of the case. As long as the cases still chamber easily after neck sizing, you're good to go. The 'bulge' won't increase any more than it is now unless you're loading some real fire breathing, on the ragged edge of max pressure ammo - that can cause brass flow. Even then all you need to do is check for head seperation (I still use the wire-with-a-bend to check). For me, .243 seems to be the most prone to that.
Cheers,
crkckr