For a delete option, I usually provide a Javascript warning first, and then if the user confirms, I run a simple delete followed by redirection to the page.
Just glancing at your code, I'm unsure of what your different filenames refer to (menu.php, edit_customers.php...) but here's a pretty standard way of handling delete...
Then this is the delete.php script:
This can easily be placed into a loop for deleting more than one item at a time. Your button (or checkbox, or radio button, or whatever) should be named the same thing as the unique ID of the particular database record. That makes it much easier to use it for loops, and expand it and use it elsewhere, and so on.