Yes, there are drink limits when using beverage packages.
How the daily limits work by package
Quench Beverage Package: Limited to 15 non-alcoholic drinks daily.
Signature Beverage Package: Limited to 15 alcoholic or non-alcoholic drinks daily, and zero-proof beverages count toward the daily limit.
Elite Beverage Package: Includes unlimited zero-proof beverages, plus a daily limit of 15 alcoholic beverages.