Agree with the timeline criticisms, it just doesn't line up, they could probably fix it changing a few of Diana's lines saying that once trapped she tried to wake up Wolfgang for a long time before he finally did, as for the rest:
>How did she steal the stuff
I think it's fairly simple, she stole from rooms with nobody inside, and most likely didn't have someone on her at all times, Damon is also suspicious to the other students yet he was able to sneak by to the boiler room to talk to Tozu, considering Eva was planning the murder for a couple of days she likely had plenty of opportunities to be sneaky
>Eva turned the lock around. How did she do that
Yeah, this one has some problems, you'd need a screwdriver to do that, while I'm sure there's one in one of the rooms this is the kind of detail it'd be explained, maybe it's meant to be revealed early in chapter 2, maybe Tozu helped, while the games take from Danganronpa, to assume he tries to be as neutral as Monokuma is probably a mistake
>Doors don't just automatically lock
The one in the boiler room is a kind of lock that does that, it's called a storeroom lock and exists in real life