Hi – as this is a side quest, this can be started by reading the email on your PC in the office “Handyman Needed” and picking “Select Mission”. You’ll then be given a brief summary as normal and can chose the option “YES (Play)” to start this.
Currently re-working the side quests system to make it a little easier to navigate/play, but this only affects playing this one and Azure's missions at current, so it’s not a bug thankfully.
Congratulations on finding all the “Things” too, those are something else entirely – maybe you can find some people willing to buy them off you – or just give them away as you’ve now got so many! And yes, there are a lot of objects in the room that become relevant later in the game.