Compromised computer or just a hacked hotmail account?!

My Hotmail account was hacked, and under 'recent activity' I saw successful logins using MY IP address and Exchange ActiveSync. (Would love to know what this means, how it's accomplished). After changing the password, I continued to see successful logins, until I created the 2-step verification process and a stronger password. Even now, on a daily basis I see Numerous attempts to log into my email: "incorrect password entered."
One of the logins listed a different IP address, which I was able to track down and I now have all the details regarding its user. Any advise on what to do with that info--who to report it to?
I use free versions of AVAST, Malwarebytes and now SUPERAntiSpyware. I am really concerned about the security of my system.
What can I do to ensure the safety of online banking or online purchases?
Is there a way to know if it's just my hotmail that was hacked or if there's someone/thing lurking in my PC? :confused
Your advice will be greatly appreciated!!

 

Attached are my logs.
I hope everything is correct as i followed the steps as indicated.
Thank you very much for your help!!!