BHMTT

You can check the companies that commonly come for placements on:https://www.shiksha.com/hospitality-travel/travel-tourism/course/b-com-in-travel-and-tourism-mount-carmel-college-mcc-bangalore-palace-road-88339

Yes, you can apply for that. Go check this link for more information.
http://management.ind.in/forum/food-inspector-exam-eligibility-after-hotel-management-50313.html

According to me, IPM is a good choice but then it totally depends on your interest.

Check the best for you:
1-Indian Institute of Tourism and Travel Management - Bhubaneswar, Orissa
2-Skyline Institute of Travel & Tourism - New Delhi, Delhi
3-Shreemati Nathibai Damodar Thackersey University - Mumbai, Maharashtra

You can pursue a BBA course in Travel & Tourism followed by an MBA degree in the same field for better career prospects. Hindustan University, University of Technology & Management Shillong & Maharaja Surajmal Institute are a few institutes offering BBA in Travel & Tourism. You can check further details on websites of these institutes.

Well, you had a good interest in doing tourism and travel management, you will have the good opportunities to learn different languages and interacting with different kind of people and every minute will be interesting and challenging. The jobs which are suitable for this degree are TRAVEL AGENT, LOADING MANAGER & TRAVEL COORDINATOR. If you have a good financial position, you can arrange your own traveling office.