"Any tips on how to get them calling back would be appreciated too. Thanks!"

Be good, genuine and honest.

Your comfort level, program and songlist will improve over time, but you have to present a quality product from the start. Keep in touch with the AD and follow up after your job. See if they can find another date for you right away. Maybe offer a 2fer or a discount for multiple bookings - you are new to this, after all.

If the job goes well, contact another facility right away and name drop. Build clientele now while the year is early; some places book months in advance and some already are booked for the year. If you're good, they'll find a way to ask you back.