RE: When I pause a video my speakers start to give a loud, droning, static-like noise
I have reported the same thing on my 7779. I have not found a way to stop it, although it does not appear to happen all the time, but you might try opening the Recording dialog windows from the speaker icon. It seems on my system if I open the voice reorder or that recording dialog, the buzzing stops.
Different drivers don't seem to help since it is related to the combined audio port and I am guessing it is related to the connections since they are sensed electronically. It may be something in the Waves MaxxAudioPro which seems to handle those connections.
The latest Audio driver from Dell is from the 6th or 7th of December, which I am not running. It may update Waves but if you are already running it, then that is all I could even think of.