Lan: I'm guessing RJ. Nothing advanced for Lan in TGS, so BS could keep RJ's stuff in there without a problem. If we weren't going to hear about Lan for a long time, it was like RJ to mention him at the start.

I think the prologue was way too early for Lan. He was barely on his way then (a few weeks, barely in Saldaea), and this would have screwed the timeline too much (Brandon wouldn't mind so much based on TGS... but RJ would have). My guess is that Brandon moved to the prologue a mid-book scene that finally returned to Lan (written by RJ or not, I suspect not for myself), possibly it came shortly after a Nynaeve scene in Arad Doman, perhaps the one where Rand is harsh about Lan and his fate. It would seem natural to switch to Lan's POV or someone with Lan's POV (I'm pretty sure the sidekick character Brandon has created is someone near Lan, and I get the feeling this is his introductory scene...).

Also, in the Renald scene there's a reference to the army assembling to the north (people flocking to Lan, obviously), and I doubt RJ planned to have that scene then so soon after a scene with that army.

Perrin: I'm guessing BS wrote this. Either that or nothing that happened to Perrin in TGS had any effect that would have changed something RJ wrote that was intended to go before it.

I'm of two minds one this one.... the thing is that the Perrin scenes in TGS seemed a bit... useless, and they also contradicted the end of KOD some (Perrin had already begun to send the refugees north, and it's Tylee who was remaining behind to deal with the Shaido. In TGS, it's the opposite, Tylee's gone Perrin is still in Malden, learned the Shaido had turned back and was taking his sweet time to get the train of refugees going. Perrin's last scene was like a set up for him to get back to the wolf dream stuff. The way the "no travelling" issue was dealt with was also too silly for RJ. So my feeling is that Brandon sort of wrote "prequel" scenes for Perrin at Malden and early on the way not for TGS, whereas RJ quite possibly intended to start his storyline with Perrin's dream and Faile's assassination of Masema both in the prologue, before catching up with Perrin out of Malden a few weeks later, thus catching up to Galad's timeline.

The prologue "dream scene", IMO, probably opens up Perrin's storyline too widely (it introduces a major issue, IMO. I'm quite convinced the wolves are starting to gather around Perrin for the LB and this will freak him out, and the Shadow will try to stop this from happening - and it might be that last bit the dream is about... or it's Cyndane appearing in Perrin's nightmares etc. ), and this is why Brandon chose to move it to TOM, and decided to write "catching up" scenes for TGS, using bits and pieces about issues RJ intended to deal with for Perrin in AMOL (his realisation that he's been overprotective of Faile, the fact he still struggles with the wolves, the fact he can't travel).

Galad: I have no guess on this one. We didn't hear from him except the mention by Tam... so I suppose my guess is RJ.

I'm pretty convinced this is an "original prologue" scene. Like the last Ituralde scene in TGS, this one is the end of the "trilogy" of prologue scenes with the WC/Galad. With that one, RJ was bringing Galad to the point where he'll re enter a main storyline, Perrin's. The harm mentionned is rather obvious: by the timeline, Galad should reach the Jehannah road a week or two before Perrin does. Tylee must have reported to the Seanchan leaders her spotting the deserters in KOD, and rakens are back in business in Altara, so the Seanchan armies to the north know Galad is coming. There we have the reason why Galad will be forced to turn west and enter Ghealdan: his way east then north is blocked. Apparently, Perrin will be forced to do the same as well, he won't be able to send Alliandre home and move to Andor via Murandy or Northern Altara as he planned. He'll be forced west too, and will bump into Galad.

Fain (probably): same as what I said about Lan and Galad.

Is it really Fain? I'm not quite sure myself. The Blight would be a curious place for him to reappear. I don't put too much weight on the "creeps" and I will go with Slayer for myself. Isam can't use TAR from the Blight as it's not reflected there, so he might be creeping through the Blight. This could well be a scene that shows him aware that Lan is coming east, as well as an introduction to his move into Perrin's storyline (which we know will happen, from the cover blurb).

I think it's a RJ scene.

Invasion: This is most likely written by Sanderson, or if it was by RJ it had to be moved from a different part of the book. I don't think RJ would have written Renald going off to war in the same Prologue as an invasion of the Borderlands.

Definitely Sanderson, or at least moved from another part of the book, IMO (probably the former) It's too early in the timeline otherwise. It has to happen after Rand moves Ituralde there, and definitely after the Renald scene in TGS. Possibly, Brandon wrote an "invasion scene" in the vein of the "storm scene" with Renald, to give the book a similar tone. Originally perhaps we were to hear rumours the invasion had started in a Lan scene or something like that. RJ used mid-book "one scene only" new POV characters sparingly (he did that for the Cleansing, but rarely elsewhere except in prologues or epilogues). It's not much like him to show us an "invasion scene" in the middle of the book.

I wonder if there's missing scenes in this description. I was under the impression Brandon said the prologue was longer than TGS'.