Is it normal to feel as if I have a sinus infection during recovery from septoplasty/turbinoplasty/batten graft?

It is not only possible but typical to get significant swelling inside your nose following a rhinoplasty.  The swelling does slowly go away over time.  While the swelling is present however, it can swell the sinus openings closed, giving you symptoms of a sinus infection.  If this is the case, an over-the-counter decongestant may take down enough of the swelling to make you feel better in the meantime.

The nose can feel congested for months after the type of surgery you had. If you have concerns that something else may be going on you may want to see an ENT for a second opinion.