B.A

Yes, you can go for that.

You are eligible for BA (Hons) if you are a 12th pass. Just go to any college or university and apply for the admission. You will definitely get admission.

If you have completed your BA from a UGC approved university then you can do MA in regular mode.

Economics, geography, history, sociology, education are some good combinations with political science.

You can appear in UPSC examination, banking services, etc.
for better opportunities. There are limited job opportunities just after doing BA.

Maths, statistics, information practice and geography are good options for economics. Economics, education, sociology and history are some good options for political science. You can choose other subjects too.

Yes, you can apply for IAS and IPS exam if you have completed your graduation degree from the recognized university. The age should be between 21 and 30 years.
Age relaxation:
For OBC: 3 years
For SC/ST: 5 years
You must be a citizen of India.
For more details, you can visit:
www.upsc.gov.in

There are lots of options after BA. Few are mentioned below:
Development studies
Gandhi and peace management
Foreign language
English (Hons)
Psychology
Travel and tourism
MBA
B.Ed
Philosophy
Political Science
Multimedia
Mass communication
Disaster management
Quality management
So, decide according to your interest and calibre.
All the best.