i would try it out on the other pc, if you experience no problems, then i would reinstall it on the desired pc, if it still doesnt work, its a problem in your pc, like rivers said..it could be windows.
windows updates?
go into bitlord and in there somewhere set your max upload rate to 4kb/s my Cable internet used to run really slow befor when i was useing bitlord but now its good. It disconnected a couple times aswell.
I would say it has something to do with your router, it shouldnt be dropping the connection. I would however, check and make sure your computer is still talking with the router when it drops...try and narrow down where the connection is breaking. If you can determine that we can probably get this resolved. Try logging into your router (or pinging it for that matter) when it drops and let us know. The upload and download speed of bitlord should not effect your connection in this way.