Hi,
Please try and get some JSB 10.34 and send then at about 890-920 FPS. I haven't ever used 8.44 but I think the recommended velocity is around 960 fps for that pellet, but I haven't seen anyone get great results with the 8.44 grain. I really like the JSB brand in the FX guns, I have tried a few of the H&N pellets in different calibres but have found them not as accurate generally.
The first string you show indicates a reg and hammer spring imbalance, the gun seems to settle after the first mag so at least we know that the potential for a good string is there, Sorry I don't have a .177 crown pellet probe yet otherwise I could give you a few settings to duplicate. My impact is at 105 bar and shoots the 10.34 at 910fps very well, maybe not hole in hole at 20 meters but they all touch each other in a 15mm cluster, is your transfer port wheel on .22/.177 or on min?
I am watching this thread with interest...