A rapid tear breakup time tends to indicate that you have a deficient lipid layer. The lipid layer is an oily outermost layer of the tear. The oil provides a protective film that keeps the underlying watery aqueous layer from evaporating.
Punctal plugs tend to do a great job if the aqueous layer is deficient. They keep the water from flowing away. While this can help tear breakup time, it does not resolve the problem of a poor lipid layer.
Often supplements available at most pharmacies or health food stores can resolve a poor lipid layer. Flax seed oil and anything high in Omega 3 essential fatty acids often do the trick. A daily warm compress on the eyes for 10-20 minutes can be helpful. Restasis is the only prescription medication that is approved to treat an underlying cause of dry eyes.
We have a detailed article about dry eye treatment at http://www.usaeyes.org/lasik/faq/lasik-dry-eyes.htm that you may find helpful, and then discuss other possibilities with your surgeon. Also, if your puntal plugs are irritating, they may be the wrong size or shape. Ask that they be changed.
Glenn Hagele
http://USAEyes.org
Lasik Patient Advocacy & Surgeon Certification
I am not a doctor.