This is just a symptom of a greater broken problem that keeps happening to seemingly just about everyone (including myself). I cant tell you concretely how I got lucky and got thru it, it just seemed to be luck other than taking sometimes a full (real life) day's break between each step.
However I made a thread here to explain the "script lag" behind this as well as ask questions about how everything else worked. If you understand about the script lag, you should understand the not keep trying over and over expecting things to happen instantly.
The only advice I have for you is get through this however you can and only build living quarters after this, at least two. Energy being so badly limited (from not being able to add more by adding more NPC's to HQ) is causing everyone to hit gamebreaking stops when thes bugs hit. Once your energy pool goes up, there's a bit more tolerance and other things to play this whenever assignments get stuck and they
will. Repeatedly.