A common mistake new shooters make is to blame the sights and start adjusting them. You are doing what is known as chasing the bullet.
When I shoot a new to me gun I never know for sure whether I am testing myself, the gun or the ammunition. I make several separate trips to the range before I touch the sights.
The biggest variable is me. I may have the jitters from drinking caffeine, being tired or not practicing the basics of proper breathing, grip, or trigger pull. My most common fault is not focusing on the front sight. When I realize I am not doing so I will repeat out loud to myself “front sight, front sight, front sight” while I am pulling the trigger. (It is also a good way to get the range to yourself. People look at funny when you talk to yourself). After a few rounds of doing so I am usually back on target.
Your second target shows your groups are mostly centered. Personally I would reset the rear sight so it is centered and make several trips to the range before touching them again.