And why do you think I should not request account deletion?
I have used my Bank for depositing there, and I dont want that data to be anymore with them.
Clear?
You have a genuine reason why you want them to delete your account. But you should give them some time to start and finish the process. But you have to be aware that your data might still be somewhere even if they claim it has been deleted. So, in future, don't give out any information to a third party if you don't want them to be in public domain.
Sir, I was banned only after I request them to delete my account and Instead of deleting the account they banned it.
That's lie, you don't want to use your main account and file your petition against DuckDice.io, if you were banned don't you know that this particular account is not saved because it will soon be ban, except the acct you're emphasizing That's ban should be the acct you have with DuckDice.io not bitcointalk account.
I think OP is not referring to his Bitcointalk account when he said it was banned. He asked that his DuckDice.io account be deleted and it was only banned, that's his major concern.