regarding rent agreement

Most rent agreements are signed for 11 months so that they can avoid stamp duty and other charges. According to the Registration Act, 1908, the registration of a lease agreement is mandatory if the leasing period is more than 12 months. ... The stamp paper can be in the name of the tenant or the land lord.

Format, period and registration of Rent agreements depends on the Rent Act rules. Each State has its own Rent act rules. You have to refer to the Rent act rules of your State. 

Yes you can subject to registration charges and stamp duty of the concerned state

Rent agreement for one year and above has to be registered, which can be made for the period as agreed between landlord and tenant.