Design

No one should have associate degree and professional degree to teach fashion styling.

Hi there,
Yes, there are government colleges for Diploma in fashion designing in Ahmedabad-
CEPT University
Gujarat technological university
National institute of design, NID
Gandhi Institute of Fashion Design.

You have to start with one course at a time. I would recommend to start with web designing first. As you are from Maths background, web designing will develop your interest. Simultaneously, start learning about hardware and networking basics and then do CEH.
All the best.

Yes, you can go for it!
You should not bother about stream which you have studies. Anyone can do these type of courses.

Yes, you can retake admission for your UG course. The admission will be based on a personal interview wherein your aptitude for the course will be determined. And you can't say that the college is best for this course, but a fine one.

Dear,
You should appear for their entrance test first. You are eligible for admission there.
All the best.

Look as you are interested in doing Masters in styling, you may go for these colleges:
International College of Fashion, New Delhi
Satyam Fashion Institute, Noida
Pearl Academy, Jaipur.

Yes, you can join this institute. No experience is needed for this and they teach how to draw designs and all it is not too much difficult.

Bachelor of Design (B. Des or B. Design) is an undergraduate degree course in the field of Design, where the key aspects are innovation and creativity. Students who have an edge over imagination and a good taste in designing may opt for this course. Duration :
The duration of the course is 3 years and 6 semesters in some colleges while some college offer 4 years and 8 semesters of Bachelor of Design (B. Des or B. Design). .

The duration of Certificate in Industry, Automotive, Product Design in Kalapurnam Institute is 1 year 6 months.