The OP asked quite a few questions, so just a few more suggestions.
On brass, if you have to buy a box or two of shells to get some brass, I would highly recommend the Hornady ammunition, because I'm quite sure they use Norma makes their brass and it is, for all practical purposes about as good as it comes.
For years, Winchester was the go to brass, then they came out with some junk that would stretch the primer pockets on the first firing of normal load, so most of us are leery of it yet.
Same with Federal, for a great long time it was among the best, then come the bad era. I think it may be OK again, but I am waiting for other people to give reports.
You will never need more than a standard large rifle primer and as far as I'm concerned, just get any brand you see. I know, people will contend this, but I am giving my opinion.
I haven't had a Savage Axis in 243, but I have done considerable reloading experimenting with a Savage Axis in 7mm-08, which is very similar. I found it to be quite a tight chamber, so I full length resized every case every time. I suspect the 243 chamber will also be pretty close fitting, so you will gain absolutely nothing by attempting to neck size only.
The 7-08 Savage was also shorter than most to the lands. I was working with a Tikka 7-08 at the same time and a bullet seating that was tight to the lands in the Tikka had to be seated as much as .040" deeper before that same bullet would chamber in the Savage. So completely ignore figures on cartridge over all length given in your loading manual and just seat the bullets so the bolt will close easily on them.
I also found the Savage Axis to be very, accurate and consistent with any bullet I used that was under 100 grains. The 100 grainers made just a little larger groups, but certainly excellent hunting accuracy.
Have fun.
Bruce