Hey Csaba,
regarding the first question: I am not sure I understood. Could you please clarify what is the end result you wish to achieve? Is it to have the project title displayed above the featured image?
Concerning the second question: if you want to display taxonomy labels instead of the project type icons, you’ll need to edit the “overlay-post” element in the “content.php” file (line 60) and all derivative “content-xx.php” files for various project types.
Sincerely,
Andrii / Satori Studio