I'd agree - don't worry and go looking for problems. With any camera in the world, if you searched and tested and prodded looking for problems, you'd find them. It all gets a bit too obsessive trying to find out if pixel #4,564,317 is occasionally registered as a hot pixel after 1hr 28min of continuous shooting in a 105 degree jungle with the lens cap on.
Relax and enjoy - if you've got a genuine problem that would best be fixed under the warranty, it'll show itself in your normal photo viewing, and you'll know fairly quickly. I figure if a 'problem' requires me viewing with a loupe at a 200% viewable photo on a high-res monitor in the far right corner of a shot, it isn't a problem. If I view my photo at normal screen size and see that the focus point seems a bit soft and the foreground looks sharp, then I'm going to see cause for concern and send the camera in for repair.
Sony DSLR-A580 / Sony 18-250mm / Minolta 50mm F1.7 / Sigma 30mm F1.4 / Tamron 10-24mm / Tamron 150-600mm / Tamron 90mm F2.8 macro / Minolta 300mm F4 APO
Sony A6000 / 18-55mm F3.5-5.6 / 55-210mm F4-6.3 / 10-18mm F4 / 35mm F1.8 / 16mm F2.8 / via manual adapter, lots of Pentax K mount, Konica K/AR mount, and Leica M mount manual lenses