You would need to program the sensors into the new panel. A guide can be found here:
The panel purchase comes with the first month of Surety Complete plan. Professional Monitoring is an option for the plan which is included by default.
Service is month to month, you can read about plan features in the link below. Any of the Alarm, Home, Protect, or Complete plans can be professionally monitored. Whether your insurance certificate shows both burglary and fire devices present is determined by the sensors you have connected to your panel, not the plan. The certificate will specify whether you have professional monitoring or are self-monitoring.