As Rao Sir has already said, you cannot do two degrees at the same time, as you have to show your certificates. Of course, these days, the correspondence education standards have go to the lowest level.
You can please register with the University of Madras or the Annamalai University, with your Degree certificate and spot admission is always done in so many places. Once done, go in for BA (English) right away, if you are so serious, about a career in teaching. Once you complete BA you can enroll for the MA and then take the UGC NET and the State SLET, as applicable to you.
However, an industrial career is also a wise option, more so, till you complete both the BA and the MA, which will take four years. If you work in a trading company for example, you can pick up huge skills in accounting. Combine that with tally. And if you want to continue in industry, please do the costing course, and that will help you to go ahead.
At the end of five years, it is possible for you to switch careers, go to a school job and then come up through experience. Please do note, even if you pass the inter of ICWA, you can easily continue in industry itself, where the salaries and perks will be far better. Alternatively, you can go to the school, but the way ahead is a long climb. It will take at least seven years for you to settle in a school career. In the interim, you need to survive and hence gather the vital accounts experience. You can even assist your school at a later stage. Tomorrow, it will be a case of multi-skills and multi-tasking, even in schools. Please do note, every single school in the private sector will look for branding and expect you to be actively involved in the process. For example, the ISO certification, which means a huge amount of documentation. Once you go through the mill, you will learn.
All the best.