1. Hmmm, it should really have one or the other - I suspect hyparchia is the correct answer since it's not a major holding. Changed for 2.04b.
2. Is it not possible to build a level 1 farm there with some form of government?
3. Good to hear.
4. That was working before the last rework of the heir mechanic, I wonder if we've inadvertently broken it.
5. Sounds like a trigger issue.