In case of the first one, once you have collected all 3 posters, you now need to progress by going to the desktop (the one where you are before you start your actual run), where now you should be able to open the posters as icons there. Also check out the internet browser at the same desktop (now I forgot its name). There might be useful stuff for you too.
But I agree that it's probably a logical bug (or just demo limitation), that regardless of our progress in the quest, the game will keep telling us to find all 3 posters at start of each run.