Hi. . .
Have you had your system looked at by the Security professionals here at Bleeping Computer to ensure that all infections are in fact gone, i.e., that your system is 100% clean?
If not, I suggest that you do so - http://www.bleepingcomputer.com/forums/f/103/am-i-infected-what-do-i-do/
Explorer crashes may be caused by a bad shell. Use Nirsoft apps to locate and disable 3rd party Explorer shells.
I don't have any experience with ATI Catalyst Control Center (CCC) other than to tell you to update your video drivers. You state that you have already done this, but I suggest that you reinstall fresh video drivers anyway.
Regards. . .
Edited by jcgriff2, 07 March 2016 - 03:59 PM.