We have a wireless router. We'll see with the time change if the problem onset also changes time.
I did ask the computer repair guy at Office Depot about this problem. He looked puzzled the whole time but said he would check the computer for spyware and other stuff but he later said he doesn't fix Apple computers. Only 4% of the malware out there is written for Apples.
I'm going to back up my 3 GB worth of data onto disks and reinstall the software, with Apple's phone help or not. Hardly anyone makes a back up drive small enough for me.
This is under warranty but Apple had a Spin Doctor pursuing this problem. The guy should run for Public Office or be a White House Press Secretary. So I wrote the Attorney General for MD and after some nonsense that office forwarded my two page letter to Apple in Cupertino.
We'll see.
I did learn over time that Spin Doctors, used car salesmen, sociopaths, Sophists and other people with personality disorders hate to be identified as such but they certainly enjoy the benefits thereof. Asking that all communication from now on be in writing is like holding a crucifix in front of a vampire.