Ok, I uninstalled the entire slate of google apps as well, and reinstalled parts that I use but not 'spyware doctor' (which can come as an add-on). The machine is faster. Not sure whether it is the google thing or perhaps a better internet connection (or both). Every now and then still something 'odd' happens, such as IE 'loosing' the webpage and instead showing some peculiar message. Also, I ran avast again, and again no threats found.
Would you be OK with me running things for a couple of days still and then letting you know? Would appreciate. Thank you.