Temple of Chaos couch coop bugs

I have found two issues in Temple of Chaos (first attempt, Normal difficulty) when playing couch-coop.

1. After my partner died, I kept playing the trial to see how far I would get. I was doing fine and managed to transition to the next room (I think it was the third room).

In the middle of the fight, my screen went black and my character apparently got stuck (I could see the map and noticed my marker wasn't leaving the same place).

Luckily, the monsters were dead, so I managed to stay alive, but since I had a modifier that caused area damage if I stayed at the same place, eventually I started losing HP and decided to go to the character selection screen and come back.

2. After coming back, I had been teleported to the Ziggurat camp and had lost my quest item. I went back into the temple and it didn't let me go inside because "You can't reenter the area after dying" (I was alive and at full or almost full HP when I logged out, since I popped a flask as soon as my HP started going down, and since it was going down slowly enough for my flask to recover my health).


Extra: if my partner dies, I can no longer revive them during a fight. I know this is intended, but I'm not sure if it is intended to happen even when traveling between different rooms in the ascension. If it is intended, then I wonder what happens to monster difficulty (does it adjust to a 1 player fight or does it remain as if 2 players were fighting during the whole trial?)


Question: I noticed I had a total of 2 ascendancy points. One was from the Trial of Sekhemas, and the other I don't know. Possibly I got it from the Trial of Chaos despite being kicked out? My partner also had the same number of points despite dying in the trial.