I've seen and had some wierd stuff happen with the first few shots out of a new barrel / scope setup myself.
When you mount your scope, make sure your base fits the top of the reciver the way it's supposed to. No burrs in the bottom of the base from the screw holes, no gaps between the base and the receiver, ect. Take a close look at the fit because there are some slight differences bewteen receiver models and the correct base for each model, and the difference is sometimes small. (Loctight the screws after the initial trial fit and tourque them to spec).
When using a picatinny type rail base or weaver slot type basses, make sure ring bottoms are pushed forward in the slots before tighnening the bottom ring to the base. (That first and or second shot recoil can move the ring froward in the base slot if there is a gap there. That is one reason why the first few shots can be wierd, and then all the sudden she will settle down.)
New barrels are full of crap from the factory and sometimes and a cursory cleaning may not come close to getting them cleaned up. Some barrels have been siting around for a while the the crud is really in there.
New rifleings are sometimes full of burrs and rough spots that will need to be dealt with. (You can sometimes feel the tight spots in the barrel when you push a patch through it. Those spots can cause bullet distortions and variances in velocity, all of which affect accuracy.
I clean the barrels as best I can before the first shots, then brush with copper solvent and run patches with powder solvent at least one rep of each after each shot fired for the fist 10 rounds, ( I get my rough sight in done at the same time) After than, I brush with coper solvent and patch with powder solvent after each five shot group till i've gone through 50 rounds. (I use a brush one size bigger than the caliber to get a good scrub).
I just setup a Savage/Stevens 200 in .308 that really was starting to bum me out at first with big groups at 100 yards (and I just did a ton of trigger work on it the night before). After about 40 rounds using my above method, the thing started to settle down.
I was thinking about hunting deer this year with somethng else due to the inconsistant performance. I was shooting 150 grain-ers and 165's with various charges and bullet seating and nothing was shooting well.
Finnally after about 40 or so rounds, and some searious brushing and cleannig (allways breach to muzzle by the way), It started to shoot groups. After about 65 rounds and some final sight adjustments it would shoot both bullet weights to minuet of angle or so at 100 yards. (first shot after a cleaning was a filyer and the next shots would group. After time even the first shot out of a just cleaned barrel got better, but you cold stil tell the difference compared to the following shots.
I made a final sight ajustment for the 165 grain load, and shot a 5 shot group with no cleaning at 200 yards that was 3".
I'm gonna use that gun tomorrow morning for the Wisconsin deer opener. (just because of the extra work I put into it).
New gun barrels are not as nice a finish on the inside as the guns of yesterday were IMO, so we need to take more time with them when there new these days.
There are fixes for really tough barrel burs such as the "Tubs Barrel Lapping System that can work very well.
I won't get into detail here, but you shoot sets of cartiges that progressivly lap rough spots from the barrel using progressivly coated bullets (you can buy the loadded shells or just the bullets for your own hand loads). Follow the instructions and the system will improve rough and or sometimes throat eroded barrels.
My next thing with this guin is to try some neck sized casses using a collet neck sizer die and see what happens. I think the more I shoot this gun, and play with loads, the better it will get. Some guns are stubborn that way, and sometimes, in the end, they trun out to be the best shooter's.
This is just my observation, and I buy and setup at least one new gun a year, and sometimes one like this will give me more trouble than others.