Fashion Design

Yes, if it is from a UGC recognized university and awarded without violating any norms including territorial jurisdiction.

It's 2-years advanced professional course is suitable for you.

NIFT should be your first choice.

So, you want to become a fashion designer and start your own label - and also participate in fashion shows. So, for this, take up a degree course in fashion designing from top fashion institutes like NID or NIFT. Otherwise, Pearl Academy and IIFT is also good.
You donot have to choose subjects - the subjects are integral part of the course material.
In FD - you will learn sketching / designing / pattern making basics / CAD / illustrator / graphics etc. All these are important to understand the concept and possibility of a design to culminate in result.
So all the very best. Prepare for enterance and get admission in best colleges.