Also, if you scan and clean with these apps, that'd be very helpful most likely in eliminating any infections:
1. malwarebytes antimalware
2. Superantispyware
3. Advanced System Care
4. Glary utilities
5. CCleaner
The first 2 are malwayre getters, and the last 3 are general cleanup tools - might help clean up any left-overs from the viruses/malware.
But if it were me, and it got to the extent they were dropping any sort of executables on my desktop, I'd seriously look at wiping with DBAN or Active Killdisk, and starting from scratch... THEN install a good firewall, AV, antispyware/antimalware, etc.. Of course if you do this, back up your important data first.
Also, in the mean time, if you have no need for it, make sure Windows Remote Desktop is turned totally off, so it can't be used.
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"If to err is human, then I must be some kind of human!" -Me