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You need to
a) Own King's Landing.
and
b) Have lord as prisoner in your party.

It should be under "High Treason" branch of dialogue.

You get their equipment, lose relationship with their faction members, but it's smaller than if you'd execute them.

Night Watch gets one more lord, which helps combat the WW.

Send to the Wall/execute Randyll Tarly.

The save was started in 2.0. No cheats, no edits. Kings Landing was taken by Vale in that save.

Tywin Lannister constantly tries to kick Joffrey out, but that bastard, like a loyal dog, constantly finds a way back into the Westerlands. Twice. Same with Kevan Lannister.

I think I saw a similar issue in way earlier versions, where lords of a destroyed faction couldn't join anything else, staling the game.

Error message screens.
https://imgur.com/a/1J0sn

No cheats. No edit mode in that save.

Taelon, IIRC, is a village for Qarthigar Ilyn Payne quest. Even when it's hidden, border accidents happen with it. In the message Taelon's faction is "No Faction"

Images:
https://imgur.com/a/WF2Yt

It is also shown in Stormlands (Center of the map?), when hidden.

I've noticed this twice, while aiding allies in besieging Banefort. Other castles seem fine. No cheats/edits in that playthrough.

At the start of a fight, a massive amount of script errors is spammed into the event log, causing the log to not display at all. The fight works fine, and after relaunching the game no bugs encountered.

Images:
https://imgur.com/a/LkSEJ

Sounds like a dialogue between two spies undercover, if you ask me.

This was Riverrun guildmaster, seems like he had no quests. But at the end, he sounds like I declined a job.

- Do you happen to have a job for me?
- Sorry, but you should be back another day.
- OK, farewell.
- Well, the job will be available for few more days I guess. Tell me if you decide to take it.

Screens were taken after asking again, but aside from first line, dialogue is identical.
https://imgur.com/a/rZmTx

Kurkelet has no lines for backstory.

You get this dude in a random event, where he freezes in the North.

If you send a lord to The Wall, you get their stuff.

You need to download it from here:
http://www.moddb.com/mods/a-world-of-ice-and-fire/downloads/a-world-of-ice-and-fire-hotfix-22

Then, extract it into your A World of Ice and Fire folder. Choose to replace existing data, if asked.

I think you meant 2.0. Btw, I recommend you updating to 2.2.

Here is an explanation from release article:

"There has been some big changes in this release and one of them I would like to touch upon is the removal of the find item cheat menu. The reasons behind this are simple, it causes bugs, issues and the game to crash. This is a limitation with the sheer size of the mod and the warband engine. Some of you have voiced your concerns of me removing this and I hear you! So I have been trying to add ways to allow the player to acquire all the items in the mod."

TL;DR: It was removed due to instability issues.

2.1, haven't dled new patch yet, but I haven't seen anything in changelog.

Screens.
https://imgur.com/a/70rX8

It hides beards, but similar helmets don't, which I consider a bug.

Maybe it's AI mesh's fault? Which city was it?

Do they get stuck around the walls?

Hm... Maybe she has no family?

Also, Ironborn don't loose party morale when seafaring.