Hotel / Hospitality Management

That would be difficult to get into, with your score.

NCHMCT JEE is only for IHMs following NCHMCT syllabus and guidelines. In this case it should be MAH HM CET.

For information regarding the course in Kerala and their eligibility, refer the link:
https://www.shiksha.com/hospitality-travel/travel-tourism/colleges/colleges-Kerala.

It all depends on where you want to start your 1st job if you study from abroad it will get your placement in aboard. But I suggest you to do from Indian government college as Indian hospitality is one of best in world and you will learn a lot in your internships compares to aboard as Indian hotel chains will put you in extreme pressure and make you a diamond. Studying from aboard will usually let you face difficulty to work in Indian restaurants as Indian hotels demand a lot of work.

After 12th, you can do Bachelor's in travel and tourism or BBA in Travel and Tourism. You can apply in IITM, Indian Institute Of Travel and Tourism Management, which is the premier institution for Travel Tourism management under government of India. Moreover there are lots of universities where you can study Travel and Tourism.
Good Luck.

You do have the option of doing a Diploma course. If you are planning to do B.Sc then you would have to do all the department work of the hotel.

NCHMCT is the all India exam that you can opt for and can get into the top IHMs for the hotel management course.

In your Diploma admission the overall merit will be considered. Doing an English course will give you a sharp competitive edge, you can pursue an English speaking course from YMCA. There is a variety of courses as per every student needs. So, do check their website for further details.