Why would you work on your PC if the new router is what changed?
For example, in your past you learned about Control Groups (http://chemistry.about.com/od/chemistryterminology/a/What-Is-A-Control-Group.htm ) and you change one thing at a time to see where the issue is.
Here you changed the router but then began tinkering with the PC instead of the router.
Maybe there's more to this story but as it stands, it's not the PC.
Running Windows 7, router is Belkin, hardware: F9K1112 v1
Whenever I try to do a download longer than a minute, like a youtube video or a windows update, the download will hang indefinitely, and always at the same spot. Sometimes if I restart the download, it may inch a bit, but still gets frozen.
I've run CC cleaner to no avail, but I'm fairly certain the computer has nothing to do with it, as this started happening with the new router. Could someone tell me why this is happening, and how to fix it?