Hi Anca,
Thanks fro your reply.
I agree with your resolution for the Issue #2, once I changed the form type to Edit (though I work with 'New form'), then it started working fine.
For the Issue #1, OOB feature provide facility to /displaychange the 'Name' column and hence I was expecting the same.
For the Issue #3, We require a solution.
I will attach the doc lib template in my next reply.