I dont pay any rent for the land I cultivate which is Government-owned. Can I submit an application to be given a lease under the Agricultural Land Scheme?

No, no further applications under the Agricultural Land Scheme can be made after the closing date for applications.  You can still submit an application for the lease of the field but any lease will be made under current policy terms and you will not benefit from the advantages of the scheme.  Currently all applications for agricultural land not made under the Agricultural Land Scheme are being held in abeyance.