January 2019 - last edited January 2019
Hey man, I just checked out Dr. Patient in my yard. It looks like once you've gone down under the hatch and spoken with the other guy, the quest after Yuck, Finder of Doors, disappears from the list of Dr. Patient quests. So I think you've already gotten it.
I took another look at your screenshots regarding the teleporter. You are playing an engineer on Moon Base Z, an herbal assault map. The zombies don't have a teleporter, those are for plants. Similarly, rose cannot summon a teleporter on a gardens and graveyards map.
January 2019