Yes after doing your BBA you can pursue MBA in HM as there is no restriction of specific stream requirement.

The scope in Hospitality or  Hotel management is good. This will not only help you with enhancing your managerial skills but will also help you in building leadership skills. With this degree you can even open up your career scope in travel agencies, spas, sport and recreation, hotels, restaurants, transportation companies, airlines and more. Yes you can head towards becoming a chef as well.

The package expected after a MBA degree can be apprx 40K. Also it depends which company you get placed in,

Good Luck.