Created a new guild, but no factions?

I: I created a new guild, my characters has 10,000 Kurzick Faction points. My old guild had the Kurzick Alliance, but when I made a new one its gone.

Q: Having 10,000 Kurzick Faction points, how do I get my alliance back with the Kurzicks?

A: ...

Pop along to House Zu Heltzer and speak to the alliance NPC. You choose to be allied with the Kurzicks and you'll automatically get 5000 Guild Kurzick Faction.

Then just donate via the faction npc in your guild hall