Just got done playing the new update v0.2.0, and I never went on a dangerous mission with Marra/ did a point-and-click puzzle. Do I need to wait for the next update to do that or did something wrong happened?
Make sure you are playing version 0.2.0. This can be checked in the main menu in the About window.
To start the quest chain with Marra, you need to give a sperm sample to Rina (cum in a test tube during the sex scene with her). And on the second day ask her how the research is progressing. After the dialog go to Marra.