Also try this. If possible have someone else chamber each round without you seeing whether they're chambering a live round, or an already fired one, thus stuffing an empty cartridge in every couple times. Doing this will help you see if you are pulling the shots. You'd be surprised how much you'll learn about your shooting, and it will help you improve. One should not know when that firing pin is going to fall, which is why we don't just pull the trigger, but rather squeeze. This is where a good trigger is handy also. When the rifle discharges it should be unexpected, you should be surprised.
Trying to consistently shoot good groups is tough with a heavy creepy trigger also. IMO, anything above a 2.5 lb. trigger is next to impossible to get consistent groups with, and even then that's a lot of trigger weight to deal with. It also needs to break well, if it has to travel at all before breaking, that too will have a negative effect. It's easier to shoot better groups with a 3 lb. trigger that breaks properly, than a light trigger that has a bunch of travel, though neither condition is optimal.
Check to make sure the barrel is floated properly, it shouldn't be touching the stock at all. Same is true when shooting, don't let the barrel make contact with anything, and don't let it rest on anything either.
GS