1. What would it be called?
The Empire of the Darrelland: The Dukedom
2. What would your flag look like?
Green, with a blue "x" stretching to each corner, and a grey square where the "x" intersects, representing Imperium, the city upon the River Reyus and capital of The Dukedom.
3. What type of government would it have? (absolute monarchy, etc...)
Pseudo-Feudal Aristocracy. The Duke has appointed a Lord to each of his Counties, who, in turn, organize their own military and agricultural systems, appointing knights and generals as they see fit. There isn't a strong central government, however each separate county has a very sturdy internal government.
4. What would it's geography be like?
The Darrelland is mostly moors, intersected with various rivers and wetlands. To the east and north are oceans. In the south is an expansive forest, followed by a mountain range. To the east is a neighboring nation.
5. Would you be at peace with your surrounding nations, or would you try to take them over and expand your borders?
The Dukedom has already made a habit of annexing small countries, inciting the democracy-loving Totecians. Thus, they have been at neutral status with their closest neighbors.
6. Would you kill your jesters because you didn't think they were funny?
In horrific ways.
7. Would you even have jesters???

To kill, of course!
8. How would you keep your economy stable?
I would dump that problem onto my Counts.
9. Would you go hunting with your trusted friends?
SPOILER for George R. R. Martin's A Game of Thrones
10. Would your kingdom have slaves?
Only the lowly serfs, which may as well be slaves.
11. On what continent would your kingdom be on? (must be a real continent)
It would likely be in Europe, specifically on the British Isle.
12. Would your kingdom be open to new culture or not?
The Dukedom is a melting pot of sorts, with most if its local culture deriving from the ancient empire, Reyus Basileus. The City of Imperium has strict rules on cultural practices and the race of its citizens to keep with Reyus tradition, however all the surrounding counties are very open-minded to immigrants and their ways.
13. Would you be a kind and merciful ruler, or would you be a tyrannical pain in the [&@%!] who ruled with an iron fist?
The benefit of having Counts to do your work for you is that the people will get only idealistic images via propaganda. I would be stern, and I would greatly enjoy my power. If decisions were appealed up to my level, likely my ruling would be based on the benefit of the Dukedom rather than the benefit of the individual.
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RELIGION
I would most definitely not support Catholicism, but because I disagree with the belief. If this truly was a medieval, European kingdom, then my people as Catholics would be far too under the influence of The Papacy. I'd rather not have someone on the outside ruling my people. It is most likely I would formulate a propaganda faith strongly supporting the Mandate of Heaven as to assure my spot on the throne.
I missed it here.