If you’re using the free plan you will have access to all services included under that plan and can simply upgrade to a PRO account to access services marked as “PRO”; you will not be charged extra for adding or editing services.
If you have one or more PRO license(s) you can do whatever you wish for the duration of your license(s).
Moreover, there’s no need to repeat the integration process as the changes will be applied remotely.
How to change the URL of the site or the name of the app
This edit is easily done at any moment from your iubenda account:
Enter your Dashboard and click on the site you want to change the name of
Next, click on the Edit button on the right of the site or name of the app to modify