Hi Elisa, welcome to our community!
I am not aware of all the criteria we must meet in order to get access to all projects. But I do know for sure that, if you become a Kató Verified Translator, you will have access to much more tasks.
Regarding your second question, I checked too, and I couldn’t find Italian as a target language in the Filter. (Maybe because there aren’t any available at the moment? Does anyone know?)
However, as long as you are logged in and there are tasks available in your language pairs, they usually appear at the top of the task stream.
I hope this helps a little.
Have a great weekend too, Elisa!
All the best,