You have mentioned that you are a graduate. That degree is through the distance learning method. It does seem that this degree is after your tenth standard. Kindly note that only IGNOU is sort of universally accepted by even private-sector employers for purposes of recognition of any degree.
As Rao Sir, a very experienced and highly educated professional Member of ISC has advised you, it is important for you to go over to the University Office and check if the particular degree has been accepted by the Distance Educational Council as a degree equivalent to the actual degree of any recognized University. Please do note that there are some further degrees that are normally recognized for Government jobs, particularly in teaching.
For example, you can go in for the B.ED degree course from any recognized University like Annamalai University, the IGNOU, Bharadhidasan University and so on, after ascertaining the value of your degree. Once you pass the B.Ed degree course, you are eligible to register in any employment exchange and then await your chance to become a Government teacher. Please do note that most State Governments do conduct some entrance examinations to become teachers. Check the eligibility criteria in your native State.
Please do note that getting a Government job is just the start of your learning process. Even after you get your Government job, please do not give up. Do the M.ED course, for example, if you choose to teach in schools. In the meanwhile, get a PG degree through distance education also. Write at least ten articles in refereed journals.
Never ever give up acquiring qualifications and experience. And value-based knowledge. You also need to become IT savvy, even if you get into Government.