1. Is it normal for a HR44 to freeze up? If so, what is causing it? What should I do? Reset button like the tech suggested?
No, it shouldn't freeze. There are several possible causes and most of them lie with the Genie or its power brick so you should probably concentrate on the Genie side of things.
2. Can I put the power injector near the DVR and on the same UPS?
As long as it is powered 24/7/365, you can place it anywhere indoors you want.
3. Should I go back to the older SWM? Or are they the same regardless of appearances?
SWiM is SWiM. If the SWiM switch were the problem, you would likely be seeing a different kind of error condition.
4. Could the SWM be causing the lockups, since its the only other device that is new?
Not likely. You would more likely get a communications error message if that were the issue.
5. The last 8 feet or so going to the 4th room (the old CRT) is cable that was installed in the early 90's. Could it be what is wrong or unlikely?
Again, there should be an associated error in this case, not a lockup.
Most of the problems that come from defective components (other than the Genie or its power brick) should cause error messages, not lockups.
Did you ever figure out what the temperature is (although even an over-temperature situation should come with an error message)? Home entertainment ovens are the bane of modern electronic equipment. Remember that most of the power the power brick puts into the Genie ends up coming out in the form of heat inside the Genie. Unlike the receivers of old, the Genie does NOT put any power onto the coaxial cable.