HPProductAssistant Virus?

Hello,
I am having an issue with a popup saying that I need to reinstall the HPProductAssistant which doesn;t seem to want to go away. After searching other forums, I can;t get a sense for whether this is spyware or a virus or just simply something wrong with the software for my HP printer that I downloaded. Perhaps related, my internet explorer has been inexplicably slow in loading webpages. This obviously could be something completely different, but I thought I'd mention it in case it's something you guys have seen before as being related to whatever this HPProductAssistant issue is.
Thank you guys so much...
-David

Here is my log-file:

Edit by chaslang: Inline HJT log removed. READ & RUN ME sticky not followed.