Scope for a BVSc graduate is opening up on two fronts, in India. 1st as a animal husbandry specialist (more a management / strategy consultant) and 2nd as a veterinarian (as an animal doctor).

There are plenty of jobs available if you are a veterinarian. You will easily land up getting a job just after the completion of your studies, as long as you are not very particular about the location of the job. Most of the veterinarians get into independent practice.
Number of  job options is available to choose from, ranging from government hospitals to independent clinics, from poultry farms to NGOs and so on.

Some of the issues are:

Sometimes you might come across agitated pets and animals. Every now and then you are on a risk of being bitten by one such animal.

The course duration is too long. If you want to become a veterinary surgeon, then you need to go for a 4-5 years program in veterinary sciences and animal husbandry. And then in order to get good opportunities, you might also consider going for a Masters which again takes 2 years. In this way, it takes almost 7 years after your high school before your career actually starts paying you.

For MBBS:
The pros are general job security, a chance to earn good money, and the respect that comes with it is phenomenal. As with any profession, you'll have so much satisfaction and fulfillment in your life.

The load of studying is massive. You will get frustrated at some point when you'll see your friends are earning and enjoying a post-college life, while you're still buried in books.

So mentally you have to be prepared for the above.
All the best.