The goal is very straightforward. I need a form to limit each user to 1 submission per day and 3 per week.
What I found:
Webform: The "Form settings" in webform has the "Per user submission limit" setting. It does not allow me to make more than 1 validation. I'm not able to have both per day and per week in the same form.
Rule: It may possible to use Rule module but I don't see any connection with period of time validation.