Find a friend who has a flash drive. Use their PC to download Malwarebytes, SpyBot S&D, and free Avast A/V.
Install these to your PC, starting with Malwarebytes. Do a full scan. Kill everything it finds. Reboot. Install/run SpyBot S&D, full scan, kill it all. Reboot. Install/run Avast, set it to run a boot time scan. Kill all it finds.
If you need to, do these things in safe mode. BTW, Have you tried booting into safe mode with networking to see if IE will work that way?
Then, when all is done. Open a command prompt in admin mode and type in sfc /scannow to see if any system files were damaged.
Once everything is normal, BACKUP your mods, turn off system restore, reboot, then turn system restore back on (this clears the restore points) .
Don't delete the restore points in disc cleanup, this gets rid of all but the most recent one. The most recent one may be full of malware/viruses. Using this restore point would do what? Restore the malware/viruses.
Doing it by turning system restore off, rebooting, then back on gets rid of ALL restore points.