Distance

You are advised to evaluate IGNOU MBA by distance learning. NOIDA has IGNOU regional centre in sector 62.

For pursuing D. Pharma through distance, pass with any one of following groups:
Intermediate with science, 10+2 exam in science with PCB or PCM, or pre-degree examination.

CA can be done from anywhere across India. It is a self-study program. You need to register with ICAI. Simultaneously, you can pursue B.Com through correspondence.
1. School of Open Learning, University of Delhi.
2. IGNOU.
You can check the below mentioned link:
https://www.shiksha.com/getArticleDetail/

MBA in sales is not a specialization. You may opt for marketing. There is no point to pursue distance MBA, if you are not already employed somewhere and have at least 3 years of experience. If you are a fresher, then you should opt for full time MBA from top 50 institutes.

You can check the below mentioned link:
https://www.shiksha.com/mba/colleges/distance-correspondence-mba-in-hospitality-management-colleges-in-india?

You have a good background till now. You may go for B.Tech through distance mode. You can go for SSK College based in Chennai. It is quite famous for this purpose. But, in the meantime, you won't be attending classes, why don't you join a job. You can gain some work experience as well.
All the best.

As you are a nursing graduate, so MBA in hospital administration will be a better option as it deals with hospital management. MBA in healthcare management is also good and it has more wide scope as it involves whole of healthcare industry including hospitals, pharma companies, etc.
It depends on you

As per university website, EIILM University – Sikkim is fully recognized and approved by the University Grants Commission (UGC) and is established under Sikkim State Legislature Act No. 4, 2006, Government of Sikkim. Therefore, degrees awarded by university are valid for job and higher studies.

Dear Bhavin Shah,
You should focus on SAP - sales and distribution. You can pursue digital marketing courses to boost your career.
All the best.