You have posted that:
--"When this company came for recruitment to my college, they said that because the work involved night shifts, they will provide us exemption, i.e instead of working all night from office," "Nothing regarding all this was mentioned in the appointment or the offer letter."
You should have protested that terms of appointment as discussed and finalised are not expressed in writing in appointment or the offer letter.
--"they were pressurising me to buy an internet connection as soon as possible otherwise they would take actiona gainst me." You should protested/agitated in writing under acknowledgment. Employee can ask for atleat an advance/imprested cash.
--"I was pressurised a lot and finally due to such pressure I was forced to resign on 26 april 2012."
You should have submitted notice of resignation. If you were forced to write and sign resignation with immediate effect, you could have withdrawn it by email, fax, telegramme, followed by letter thru redg. post., stating it was acquired by company by force/presure within company premises. Thereafter you could have lodged a complaint with O/o Labor Commissioner and even police.
You may approach a competent and experienced service lawyer, show all documents, and let your lawyer correspond to put the things in order for you. Alternatively you can approach the O/o Inspector, Labor Commissioner with a competent, experienced, eldery well wisher and lodge a complaint.
Company can always waive off the notice pay. Or you may settle the issue by agreeing to adjustment of 14days salary in FNF statement and waiver of notice pay for 2months-14days.
--"They say that it is a registered company, but I doubt it."
Read 2(u)
You may verify with Inspector (read 2k), whether Your Organization / establishment is exempted { read 3,3(b)}under the Act by the State of Karnataka.From Inspector you shall get correct information.
--"if any body wants to leave the company then they would have to issue a 2months notice period or have to pay 2 months of salary if they leave before the notice period and it is vice versa for the company also."
Read 39. Notice. It is mentioned as one month.
--"There were no records i.e. id card entry, register entry,biometric entry etc that show that I had worked with th company fo about 12 days."
Read 27,29.
What is provided to you"Offer Letter" or "Appointment Letter"? Offer letter is issued after selection and once the offer is accepted, and candidate joins, appointment letter/order is issued.
Read 6A