Executive

The below link has the suggestion for best MBA colleges for HR according to ranking and fee structure. Please refer the below link for clear picture about the same information you asked for:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/mba/colleges/part-time-mba-colleges-mumbai-all&ved=2ahUKEwial87Bmq_aAhUKOY8KHcw-ACQQFjACegQICRAB&usg=AOvVaw0AlbMbdcVdpyrrsuL5qS9g

Yes, admissions are open in the Symbiosis University, Pune. You can apply it online, so visit Symbiosis website for further details.

Basic eligibility to apply for this course is that candidate must be a graduate from a recognized college /university. Eligible candidate can apply directly to the college.
Please refer to the link provided below for further details regarding this course. Download college brochure for details regarding admission process from the link provided below.
https://www.shiksha.com/mba/course/master-of-business-administration-jaipur-college-and-research-centre-211832

Some of the institutes offering executive programs in real estate management in India are as below
Here is the list for top real estate institutes which offer real estate programs -
1. Royal Institution of Chartered Surveyors (RICS)
2. Real estate management Institute (REMI)
3. Institute of Real Estate and Finance
4. India Institute of Real Estate
For more details check the website!

You can visit the official DMS website to know more about Executive MBA.

You can go for CLAT and still pursue CS as a part time course. Many students in my university do so. So, I think that won't be a problem.

Eligibility will depend on your MHCET scores along with your graduation marks, if you are considering MMS as option. For PGDM, there is no fix criteria for getting admission, each college has its own selection process.