So are you saying you're on a cable connection or DSL connection?
Routers don't use drivers, they use what is called a "Firmware Update".
When you say wired then you mean that you're connected to a your router via an ethernet cable?
We need more information.
Do the other computers drop also?
Type msinfo32 in the start menu then press enter. File | save on the screen that opens. Zip the saved file then attach the zip to a post.
Also, update your video editing software. Whatever you're using is too old.