Diploma

9 Years gap? You must have done something productive in those 9 years. Just be sure of that.
MBA interviews dont ask for your gap year in the resume. You should just be able to justify your gap year to the MBA recruiter and you will certainly be selected :)

Yes, you can take admission in pharmacy, but you need to give it a thought as both the fields are totally different.

If you are doing Diploma in Engineering after 10th board, then you are advised to do 10+2 to become eligible to seek admission in any graduation degree. If you have completed 10+2 then you can seek admission in any graduation degree as per your interests and preferences.

She should pursue Diploma in CS.

Yes, you can get direct admission in the second year of Diploma Polytechnic.