Is it a problem?
No. unless you count clinching teeth due to dry mouth. To protect your teeth at night, ask your dentist to provide a mouth guard, or buy one at your pharmacy. Keep a glass of water near your bed at night and sip every time you wake.
Yes. Dry mouth, also known as “xerostomia” can lead to tooth decay and enamel erosion.
You can read more about dry mouth here: https://www.dentalhealth.org/dry-mouth
Yes.
I defer to correct information above.