What would cause me dry mouth. Plus my lips have a burning feeling.

Many things. It could be from medications, being nervous, or a systemic disease. I would suggest seeing dentist specializing in oral medicine for help.
Meds. . Its a common side effect of several prescription and over the counter drugs , it's an allergic reaction that can be even caused by cosmetics or skin products.
Medications. Several hundred medications can cause this = use biotene to help or change your medication. If not on medication, then you need a blood test and a physician to to evaluate your systemic conditions.