B.A

No this is not a valid degree today many university provide this type of program but their degree is not valid for job or higher study, they give you back date entry and there is no process to give backdate entry university maximum provide 4-5 month backdate not 2 year this is not possible this type of university is blacklisted by many university or organization so i dont suggest you to do this and you should aware from this type of program

You can join Indian Army after BA degree by appearing for CDS exam conducted by UPSC. You will be eligible for all corps / Regiments except Technical Corps of Indian Army.

if u have completed BA psychology then u can go for MA in social work or MA in industrial psychology these courses have very bright career options. history doesnt have career options like psychology but u can go for history too if u want to.

You first need to decide what career you want to pursue & keeping that in mind draw a road map and follow it .
some generic options that you could explore are :
teaching English in school-you can join a school & pursue B.Ed
pick up a job in a manufacturing unit in stores/despatch/purchase dept
Pursue further Education for Masters program
All has to be in line with your life goals & aspirations

Dear Taranvir,
If you have aim for civil services than these fields will help you in further step:
HISTORY HONS
PHILOSOPHY
PUBLIC ADMINISTRATION
PSYCHOLOGY
SOCIOLOGY
ENGLISH HONS
POLITICAL SCIENCE
LAW
All the best.