Is this some computer game where the F-22 gets to have multiple missile reloads? It cannot kill all of them. It only has so much ammunition, and only the AMRAAMs can be used by the F-22 at a safe distance. As for not knowing where the aircraft is, that's just false. The F-22 is clearly visible to the naked eye, its stealth shaping and RAM is too small to be able to affect long wavelengths, and its all-aspect IR signature is still very large. All of this is due to basic physical constraints.
The F-22 does not have an RCS smaller than a hummingbird. It has a frontal x-band RCS the size of a metal marble. And there aren't very many metal marbles traveling at hundreds of knots in the sky. Locking on with the missile against the ECW suite is definitely very hard (in fact probably impossible), but most modern radars and missiles have home on jam modes that can lock on to the ECW suite itself. The F-15 pilots were probably flying older models without modern electronically scanning radars.
That said, I wouldn't bank on being able to engage an F-22 in BVR combat, unless with infrared missiles using an optical locator system (something which the F-15, F-16, F-18, and F-22 do not have, unlike the F-14D, F-35, and all modern Russian aircraft).
The trick is to be able to engage the F-22 in WVR combat, and there are plenty of tricks you can use to prevent the F-22 from being able to shoot you down BVR.
