Hello Marco,
Thanks for trying out Moz and for jumping in on our Q&A forum!
In Moz Analytics, we collect data and build timeframes weekly and monthly for all sections of your campaign. In addition, there are daily timeframes for Social and for Traffic from Search (if you have Google Analytics connected to your Moz Analytics campaign). In addition, you can setup Custom Reports with any combination of Moz Analytics modules to run daily, weekly, or monthly with direct email delivery to you and/or your clients.
As you explore Moz Analytics further, you might benefit from the Getting Started guide and from Matt Brown's awesome blog post, A Field Guide to Moz Analytics.
Regarding Domain Authority over time - yes! Check out the Links section of Moz Analytics where you can track not only your own DA over time, but DA over time for up to three competitors. The Field Guide linked above includes a screenshot of this section (scroll to/search: "Links: new features for competitor tracking").
I hope this helps. Please don't hesitate to engage us and our awesome community if you have any other questions.
Cheers,
Jeremy