It appears that you are passing through ominous phase of your life. Anyway, coming back to your query. You may approach the labour officer of the area where your company is located and talk to them. Take along with you proof of your employment like appointment letter, xerox copy of the ID card, payslips etc. Explain your problem to the Labour Officer (LO).
You say that in your absence, company browsed your system and found out that you had breached security policies. In that case your company should have conducted domestic enquiry and you should have been given chance to defend yourself. Your termination is against principles of natural justice. Anyway, approach the LO and take his help. Just explain him in sequence what happened till you were terminated and do not talk about domestic enquiry etc.
Most of the IT companies are afraid to deal with Labour Officers. On getting call from the LO, hopefully they should mellow down. Far from representing their case in the labour office, they might become ready for negotiations with just a single telephone call from the Labour Office.
Therefore, at this stage should settle the matter on getting your legitimate dues and a relieving letter. Do not ask for reemployment. Your reemployment will give them chance to take revenge against you. For a small mistake they could conduct enquiry and terminate you. Under such circumstances, if they issue the relieving letter with negative remarks, the certificate will become meaningless.
All the best!
24th November 2016 From India, Bangalore