Can I get job in Class 1 or 2 at the age of 31 years with Private sector's experience? If yes, what are the courses that I should Undergo for the same?

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A bachelor's degree with B.Ed is ideal to get into teaching profession for the primary classes.

yes , you can get admission in to professional courses :

but you need to decide what field you want :
two better options are ..
bed :- to get into teaching fields , you can be appointed as junior teacher in gov schools
or
bsc :-

1) Aqua Culture
2) Biotechnology
3) Biological Techniques and Specimen Preparation
4) Botany
5) Botany (Model II-vocational)
6) Botany – Biotechnology (double main)
7) Chemistry
8) Chemistry (Model II- vocational)
9) Chemistry- Environmental Management
10) Clinical Nutrition and Dietetics
11) Computer Science
12) Computer Application
13) Electronics
14) Environmental Sciences
15) Family and Community Science
16) Food Science and Quality Control
17) Geology.
18) Geology (Water Management)
19) Home Science
20) Industrial Chemistry
21) Industrial Fisheries
22) Information Technology
23) Mathematics
24) Medical Laboratory Technology
25) Microbiology
26) Micro-chemistry
27) Nursing
28) Nursing (Post basic)
29) Petro-chemicals
30) Physics
31) Physics (Electronics and Equipment Maintenance)
32) Physics Instrumentation
33) Statistics
34) Zoology
35) Zoology – Industrial Microbiology

now it depends on your interest .. once you complete course you can get job in junior level staff in concerned departments .. i suggest you try
part time, weekend class or night class. joining full time may be waste of time you can earn mean while.