Is the sleep thing consistent? He says he blacked out, and while you haven't provided the surrounding context, it seems like time must have passed, implying it isn't as straightforward as fall asleep -> wake up. He seems to have been asleep for a time.
it's pretty quick tbf and could just be a combination of the fact that Izuku was already incredibly exhausted by this point having broke both his arms and is bleeding all over the place but for context.
he took this blast from Dabi which blew him back and knocked him out for a time, throughout
chapter-294 he isn't present, then right as
chapter-295 starts, we see the "wake up" thing and Deku wakes up. at most he was likely only out for a few minutes.
It's also should be noted that Danger Sense activating is causing a
massive amount of pain on Deku's mind, borderline knocking himout, after he wakes up and Danger Sense activated before this point back in 293. meaning that the Vestiges should have some control over Deku's more physical aspects so telling him to "wake up" upon being knocked out should mean something.
this all happens way before Deku has mastered any of these quirks atp, so later on the vestiges are shown to be far more helpful and can direct influence him with hints and whatnot as Castorice pointed out.
Dream one I'd accept on a very limited basis, the "finding a way out" thing sort of seems like a weakness of that particular Dream Manip, might not work for other Dream Manip abilities without such a loophole (but, I lack context).
The dream manipulation is something i'm also picky about, the vestiges could only point Deku in the right direction and snap him out of the dream state but they couldn't directly free him from it said dream realm.
Deborah Gollini quirk, Day Dream, works by her putting the targeted person into an unconscious state and the victim's mind will be stuck in a dream-like world where they live out their deepest dreams and desires.
Deku was affected by this power the most the vestiges within him could do was snap him out of the dream state, he was still within said world and had to get
Giulio to break him out cause his cybernetic parts weren't affected by it.