NET isn't compulsory for the High school level teachers. So you can undoubtedly apply for the schools for the teaching positions and as you have done MSc and BEd then you are eligible for the high school as well.

Now if you want to give the private tutions, then also you are eligible and the qualification don't matters a lot for the tuitions. All that matters, is your ability of teaching. If you have that skill, you can get numerous students.

Now if you want to update your positions or if you want to be a lecturer in colleges or if you want to complete your PhD then going for the NET is mandatory. But for school level education, its not required.

For more information regarding NET you can consider the link below:

https://competition.careers360.com/articles/csir-ugc-net-exam-dates

I hope this helps. Wish you a great eve!