Auditacular

Hello! Recently I aquired a 2001 A6 with the 2.7t engine. The idle sounds like an old diesel tractor and the car shakes quite a bit. Sounds normal in high rpms. Earlier I took out a couple coilpacks to find they were soaked in oil! Apparently this is from a faulty valve cover seal. Would the oil in the coilpacks cause the roug idle or could that be from something else?

Thanks