How to Get Wireless Connection Working for HP LaserJet Pro P1102 Printer on Windows 10?

I recently changed my router and after I did that my wireless HP LaserJet Pro P1102 Printer would not print wirelessly giving me the message that the cartridge is bogus. Worked fine before. When I connect the printer via USB it prints just fine. I suspect that there is new software/firmware for that printer but when I do the download and extract of the file I see the extract but then nothing happens and I have no idea where the extracted files are.

How to Get Wireless Connection Working for HP LaserJet Pro P1102 Printer on Windows 10?