How To Schedule Backup

I am trying to schedule a Backup.
I do know how to use the ntbackup.exe but I am confused with which account I should login to setup the schedule task and how to get the task running when I am logged in as different user.

My questions:
1) Should I schedule the Backup task logged into the domain as the domain administrator?

2) After scheduling the backup task as the domain administrator, how can I get the task running even if I am logged in as normal users?

3) I tried scheduling a task as the domain administrator, when I log in as a normal user, I cannot see the schedule task on the list. Is this the right way? The tast did not run.

4) Can I setup a batch file to schedule the backup task? If yes, can someone provide a sample script?

5) What other things I should look into to make sure the schedule task runs correctly.

Thank you.