NET

Hi Kavyashree, Yes, you are eligible. You can view the detailed eligibility criteria here:
https://cbsenet.nic.in/cbsenet/eligibility.htm.

For what? For MBA or any other exam?

Yes, you can definitely apply for women's studies in NET.

The candidates applying for the Junior Research Fellowship must be 28 years old. There will be no upper age limit for the post of Lecturer/Assistant Professor.

Hello, First of all, congratulations on completing Masters in Forestry. Let me give you some important details regarding UGC NET Exam. UGC NET (University Grants Commission National Eligibility Test) is an exam through which candidates are selected for the post of Assistant Professor in various colleges and institutions of India and Junior Research Fellowship is also awarded to the deserving candidates. As you have done Masters in forestry, it will be good to select environment Science as a UGC NET subject. It's the only subject which meets with the syllabus of forestry subject.

Yes, you are eligible to take NET (psychology).

No, it is not. The validity of the JRF award letter is two years. NET is a very important exam. If there is any change in it, then it will be in the news.
https://ugcnetonline.in/notification.php

The old papers of UGC NET are available online from various websites as well as from UGC and CBSE NET websites. But I wish to share that the format has been changed in the recent years and it is heard that the next UGC NET may be conducted by National Testing Agency and they might change something again.

Veterinary Microbiology is the subject you should appear for. According to the official notification, MVSc students are eligible for veterinary microbiology only.

Dear Rupam,
You can get the question paper in any of the leading publication (the latest one) like Arihant or any other books of your respective subject. And if any of your friend has appeared for the recent NET July 2018 exam then you can ask for him or her with the help of his roll number and application number.
Regards,
Deepak.