Every surgeon has their own opinion regarding the compression garment. Occasionally I will use one depending on the needs of the patient. The most important thing is to follow your surgeon's post operative instructions for a good outcome.
The sore throat could be irritation from the endotrachel tube. This should resolve within a few days. The ear ache is most likely unrelated, but should be addressed by your surgeon.
A feeling of tightness of the neck muscles is normal after a necklift and is often caused by the technique used. Often patients have one side that may appear tighter than the other and this is usually caused by swelling. You may want to think about what side you sleep on - I have had...