Re: Neck turning and Blown primers
Based on everything you said you've already checked, and if you've heeded the possible culprits already identified in this Thread - the likely possibility is that your powder is now creating increased pressure. It's not unheard of for a new Lot of the same Brand of powder to yield higher or lower pressure than a previous lot. Also need to double and triple check you powder scale (balance beam or digital) is calibrated correctly.
If they're still chambering tight, you ought to make absolutely sure your case necks aren't being pinched/wedged along the neck of the case, where the chamber might be trying to swage the neck w/seated bullet into too narrow of a chamber neck diameter. This comes back to the possibility of a donut formed inside the case neck, the case necks being too long, a batch of overdiameter bullets, or anything else that could cause the outside diameter of the loaded cartridge case neck to be too large in diameter to fit into the chamber neck.
Measure the OD of the neck of some of your loaded cases and see if there's any measureable difference. You said you've fired these cases a number of times. The thickness of the case neck will typically increase at the case shoulder/case neck with repeated firings.
Last thing I've read about, but never experienced since I don't shoot enough between cleanings to experience it, is to make sure a carbon ring isn't forming in the bore just ahead of the case neck.
But you said you just changed to a new can/Lot of powder, so I think you're overlooking the most obvious potential culprit - unless your casings still chamber with difficulty.
Let us know what your finally conclusions are? Always look forward to learning from others' experiences.
PS: Believe it or not, I just measured some 7mm bullets that measure 0.282" in outer diameter. They slid into my prepped case necks too easily so I began measuring things.