I would like to know if when I create an event, there is an option to send email invitations, something similar to evite so my email group gets an email notifying about the event and they can click on it and register.
Also if you have the email option, is it possible to style the emails or they come out with the same color chosen for to setup the DT register component?
There is no automatic email invitation for newly created events. I would suggest creating your email in a newsletter component to then notify your subscribers of the new event. You can of course provide a link to registration.
Inside of DT Register there is an email registrants feature where you can create and send HTML emails to current registrants of a selected event.