in each form, use unique names and IDs for the form elements
for the triggers, use the submit button pressed.
if you use unique names for the submit buttons, you will be able to trigger different behaviors by which submit was pressed.
where the form data is sent is set by the action attribute of the form tag.
each form tag will have it's own action attribute, when the submit button in one form is pressed, only he form elements within that form are sent to the action page.
This is all the basics of how forms work whether in a jquery page or a standard HTML page.