1-does your form expose an API to connect to a SAAS or other tools?

2- my use case will be ,can I create a form where the user completed his own information (email and password),
headlessforms acts in a hidden way between the form and open my SaaS and launch it as the user is logged in his dashboard
as you mentioned the redirect function, can it work for my use case?
I have several Tools that can be integred, Pabbly(use webook), Formaloo, Directual, Divjoy,

3-can I add my domain

4-can I design the background of the form?

5-as update here you mentionned unlimited form submition, is available for all tiers?

thank