How someone will know,that either his first week FB bounty campaign had submitted successfully or not.
That depends on how you submitted it. If you used a Google form for the submission, you can't check it yourself if the form didn't give you an option to send a copy of the form to your email (and you checked it). You can only check whether the spreadsheet got updated later or not, as you have no control over the form or the spreadsheet it is linked to. If you submitted your report by other means, you need to check there, it obviously depends on what the process for submission is like. It would help you'd get a bit more specific.