Botany Entrance Exam

R. D. Barnes for classification - It may seem or looks like a hard or tough book to see and understand but once you start understanding it's the best book for classification. I'll suggest you to not to go for Kotpal. It's not a bad book, until you have plenty of time to study and analyse, Kotpal is like the Kunji (or guide). Tortora for physiology the best one. Odum for ecology. (Same reason as of R. D. Barnes) or you can go for Srivastava.
Leninger for immunology
For developmental biology, take any good Indian writer by asking your professors, try avoiding foreign writers.

Please visit given link for list of colleges
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/science/colleges/m-sc-botany-colleges-Mumbai-all&ved=2ahUKEwim4eu43aTiAhVXAXIKHRiIBqYQFjAEegQIAhAB&usg=AOvVaw36lyM4Zpw_Y9R2YHfcKBIw.

You haven't mentioned the name of the college or institute. However, generally all the notifications regarding entrance exams would be released on the official website of the conducting body.

Hello Rehbar,
Definitely, to become an assistant professor, Ph.D. is mandatory (however, it will be effective from 2021). You can apply in IIT's and NIT's and in universities. You also can apply for research work in IIT colleges. After clearing the NET Exam, you will be able to teach in a private university but to become a government lecturer or an assistant professor's job, you have to complete your doctorate degree.