A quality spring-piston airgun is a well-made, sturdy item, intended for the 90% of buyers who don't read forums! Unless you've gotten a very rare total lemon, there is absolutely no reason to get inside the action. Maybe later, after a thorough break-in, you will decide a tune is in order...but for now just start shooting - and have fun!
I do agree with the recommendations to clean the barrel and check the screws. Besides the hints already discussed for the latter, I would add: 1) use proper parallel-sided gunsmith screwdrivers that fit the screw slots precisely - a typical tapered blade will mar the slots; 2) check the stock inletting for rough spots (raised grain, finish runs, etc.) while you have the action out of the wood, and give it a few swipes with sandpaper if you see any obvious pressure points.