Possable Malware

So I think I might have malware. I noticed before I upgraded to win 10 I was using Win 7. Would notice that random keyboard keys would stop working. For example would try to type the number 6 on both the top part of the keyboard and then on number pad. the num lock buton was on and still wouldn't work. A restart fixed it. Then Other random keys would do the same. Took it to a repair shop and they said the drivers and wiring on my notebook where fine. I have tried using Norton, Malware bytes and adw. Nothing shows up, but malware bytes and adw both seem to skip the root kit scan even though its clicked. Tried downloading Farbar and that won't even run. (could be a compatibility issue.) I also noticed that my downloads sometimes act funny. Feels like I'm possibly being redirected or proxyed onto another server (or other form of the internet. lol sounds funny but ive heard of such things.) Had to call Microsoft tech support just to be able to connect to their server to DL the windows 10 iso because the app wouldn't install and the tech couldn't figure out why. I have also had confirmed DDOS attacks which started with my xbox one and are now affecting my computer. Both my gmail and outlook email where hacked into. My Girlfriends gmail just had an attempt to be logged into so I'm thinking its malware, spyware, and or keyloggers. They could have verified the security certificts and renamed the software to avoid it from being removed. I also notice that at times my cpu locks up in win 7 and now in win 10. Don't know what to do. Could use the help.

Hp Pavillion G7
AMD A4-3300M APU
6gb Ram
Windows 10 64bit