I worked as a radar engineer at Raytheon for 35 years. I probably know more about radar phenomenology and principles than almost any pilot, and more than most radar engineers. Sorry but extraordinary claims, observations of extraterrestrial spacecraft, for instance, require extraordinary evidence.
Anomalous propagation, electronic glitches, operator confusion, teething problems with new systems are infinitely more plausible than UFOs.
Are you familiar with the AN/APG-73 radar?
Except the problems (anomalous propagation, electronic glitches, operator confusion, teething problems) you mention have been examined and ruled out.
And if what you claim were all there was to it, why were the deck logs of the USS Princeton taken by parties unknown shortly after they were recorded and erased logs substituted?