So I tried restarting again, and this time I just left the screen at logon and lo and behold, I couldn't do anything. Again I couldn't move my cursor, the keyboard would not respond, and the blinking line for text would stand still.
After numerous restarts, I concluded that shortly after logon, the computer will just freeze. I can boot in safe mode just fine, and in doing so I was able to get rid of some viruses that I saw were lurking in my system. I thought doing this might solve the problem, but I still was left with a freezing system when I tried booting normally.
I've tried to run system restore through safe mode, but that seems to do absolutely nothing. What else could I do?