Sounds like what Wick does, which is producing more saliva than normal in order to lubricate discomforting teeth. The occasional jaw movement can be moving the teeth around to get them coated in saliva/stop them from touching someplace irritated.
The lip licking could be compensating for saliva dripping out (drool) from the excessive saliva production.
Nasal sinuses/passages are in very close proximity to the mouth, so the extra liquid and pressure from movement could be affecting her nose, making her have those breathing sounds.
Another idea is she has nasal discharge from an infection or other nasal irritant, causing her to have some discharge exiting her nose (licking lips to get the discharge) and nasal discharge dripping down her throat/mouth (like humans), resulting in mouth movements to tolerate it and get it moving.
I would schedule a visit to have her teeth and nose examined. Your description sounds a lot like Wick so teeth seems more plausible of an explanation, but a vet will be able to tell you. Since she’s still eating and seems normal in all other fronts, it’s not too dire to go tomorrow, but if it is teeth, you’ll want to set an appointment asap to confirm before it actually gets intolerable and her teeth start breaking skin in her mouth and harming her.
This happens to Wick often because his teeth are slightly discomforting to him quite often. He chews to himself. He does have a whistley nose sound occasionally. I assumed it was remnants from his URI, but it may be the teeth instead, which makes sense as I’m composing this post.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.