PDF Form For Box Label

So, are the labels arranged on the page in a grid?  Something like 2 columns of 4 rows?  If so, how are the fields named? do you have a scheme? 

Or is there one label on the page, and you print it muliple times? 

There is no way for a script to executed each time a page is printed for printing multiple copies. But you could create your own print script, that increments numbers in a field inbetween printing new copies.  

See the PrintParams entry in the Acrobat JavaScript Reference.

https://opensource.adobe.com/dc-acrobat-sdk-docs/library/jsapiref/JS_API_AcroJS.html#firstpage

You could use a template page and spawn it for the number of copies you want to print, then just print once.