When I add any field to a form, such as a text box, can I add a unique identifier that is independen t of page location? Or is any unique identifer assigned? And if so, how can I know what they are?
There is no such independent property that gets automatically assigned. You can use the combination of page number and rect, but that's not necessarily unique since you could have two fields with the same name at the same location. Do you need this in a scripting context or something else?
If you could create an Acrobat Template and use Acrobat JavaScript to add new form pages the form and the script could rename the fields on the added page.
You need to use the template to produce the first form page so the field naming structure will be the same across all form fields. You will also need to adjust any JavaScripts for the new naming convention.
A Lesson in Templates for Adobe Acrobat by Dave Wraight
North America
Europe, Middle East and Africa
Asia Pacific