Booking system not working. Help!

I am trying to make a travel booking system for my coach company only accessible by myself or other admin staff. I’ve got all my text input fields in place and I have my submit button and I have a new button to make it so I can enter data into the text fields. I also have a table below that I am using to adjust the data that I enter and view live on the page. The data is set to read and write. On the preview it works beautifully but it doesn’t work in published. I am not able to submit after entering in data or even clear the fields to enter new data. Any ideas?