the aircrafts got shot down by the aircrafts the pilots did not see. That gives the F-22 a significant advantage that it hard to detect.

Also, to be able to use fire-and-forget missile, one has to use radar guided missile. Radar guided missile uses short-wave radar, and that is exactly what stealth technology is used to defeat. Even you can use long-wave radar to find a stealth aircraft, you cannot lock it with missile.

Infrared-guided missile can only obtain a lock on the target when you point your nose at your enemy fighter, the angle is very narrow. It will be very hard to point at F-22.

The communication links between fighters and grounds of carriers are over satellites, because there is something called line-of-sight, your fighter cannot always maintain LOS with your bases or carriers, that is why it uses satellites. These links are hightly directional, and you can't detect them easily. Besides, all radio link between fighters and carriers uses frequency hopping, you can't see a thing if you don't know what frequency you are looking for.

The US has long been using computer to manage battlefield. You have no idea.