Does rhinoplasty help with under eye bags too?

Rhinoplasty does not treat under eye bags however in the next few months following the surgery there will be some swelling at the transition of nasal sidewall to the cheek which might affect the aesthetics of that area temporarily.

Removal of eye bags involved a procedure called a blepharoplasty.  This can easily be done at the same time as your rhinoplasty.  These procedures are commonly combined.