This sounds like facial paralysis. You can read about that here
It can be due to an inner ear infection, a neck problem, a tick disease which you ruled out, hypothyroidism, and inflammation in the area of the nerve.
The eyes moving back and forth goes with vestibular disease which you can read about here
As this may be due to an autoimmune issue sometimes using a steroid like prednisone may help. You can ask your vet about that possibility.
If the eyes cannot close you may want to keep them lubricated if they are drying out and your vet can suggest an eye ointment to help with that.
Scroll down to info on facial paralysis on this page for more info on things to check
and more info here that suggests long term antibiotic treatment may resolve this if the problem is an inner ear infection
Hope this helps you!