I've tested Chrome, IE 11, Firefox and Opera...all print fine for me....so I'm at a loss. Other then using Revo-uninstaller and uninstalling all that printer driver/software and starting from scratch. Personally since your HP printer isn't supported any more and it just uses the built in driver software from the OS....I'd ditch it.
Like you, I've had my HP printer for a long time (since 2001)...it works flawlessly, just uses ink like crazy. But what little printing I and the family print....I'll keep mine in use. Although I have been looking for a nice replacement.