Can account still be haked even after recovery of account

Hi there. I recently discovered that my home PC had key logger virus and basically all my online account were haked. I had AVG running. However after getting all that fixed and costing me a fortune, my PC then proceeded to get a similar vrus. I then figured out it was every time I logged onto gmail through my google account. Similar things happened with my android device after I had to set it back to factory settings and started it with that google account. The problem that I am having is I currently have 3 gmail accounts, as one is personal, work and Uni gmail. I have changed passwords set up 2 verification settings. However I have relised that my main personal gmail settings I can only access through a incognito chrome browser, other wise it jyst keeps diverting me to one of my other email settings page. I cant see any forward addresses atached to it but I have been getting scam emails that state they are from myself and sent to myself, (email slightly different than regular) there would be 5 or 6 of these different email address and attached to these emails is 2 caterlogs both of which when clicking on the link send me to my gmail account for my other 2 gmail accounts? ???? Any ideas would greatly help me. Thanks everyone