Here's the deal with your issues. You trying to use brass fired through another gun, in your gun... This rarely works out for the better without a total re-sizing and pushing the shoulder back a few thousandths. And if your dies aren't either A) properly setup, or B) cut slightly too long to push the shoulder back...Then you will end up with this scenario.
It is not a good idea to reuse brass fired in another gun (especially when you're new to reloading), unless you have the right tools and knowledge on how to properly resize them back down to SAAMI specs. It's much easier and much less hassle to just use brand new brass. The reason is, even though 2 rifles can be built identical, the chambers will still most likely be slightly different. This is why swapping brass around is not a good idea, unless you're an experienced reloader. Most experienced loaders keep their brass separated by individual rifle, because they know swapping it around and mixing it up can kill your concentricity and can change a lot of accuracy factors and can cause accuracy and consistency issues. The chamber on the other gun you got the brass from, was cut slightly longer than the chamber in your gun. Which means the headspacing will be different, and the cases fire-formed out longer than your chamber is cut. Therefore you are having issues closing the bolt on the longer cases.
This can be fixed. Like stated above, you can either make sure you are properly camming-over your reloading press (properly setup dies), and if you are, and it's still not sizing properly, you can have a machinist remove about 5 thousandths off the bottom of your die with a lathe, and then you can readjust your die into your press, and you will get enough adjustment to be sure you're pushing the shoulder back to where the once-fired brass is now back within spec that will fit inside your chamber properly.
Also, on your AI cartridges, the brass doesn't tend to stretch alot and grow, so you can get away with mostly neck-sizing only for about the life of your brass, before you have to chunk them and get new brass. I recommend also buying a matching neck-sizer die for your bolt-action calibers for once you've already gotten your brass fire-formed to your chamber (first firing).