I'm not sure why you're getting the results you are, but I would say that you definitely have your overwrite and append periods set too short.
With Overwrite protection, when in effect it prevents you from overwriting the existing tape data until it has lapsed, and the clock starts from the last time you wrote to the tape. Equally, the Append period sets out the period of time in which you are able to append data to the tape, and this starts from the first time you try to write to the tape.
So with your situation, you would start the backup, and write to the tape, after an hour your append period will run out and you can no longer append anything. The overwrite protection period will now start. After an hour you will be able to write to the tape again for another hour.
I would suggest you want you overwrite period to be more like 7 to 12 days, to ensure the existing data is not overwritten prematurely, and your append period to be between 6 hours and a day, to ensure that you have plenty of time to complete the backup, allowing for the possibility that something may happen to prevent it from completing straight away, and you may want to restart it or something.