Earthquakes are common. But significant earthquakes are rare. You might feel the ground shake 5 or 6 times a year. But that last big one was in 1994. Shit I dont even remember the last one that actually knocked something over.

Mudslides well if you live up in the hills or at the bottom of those hills. Then yes mudslides will happen when we get heavy rain.

Drought? It's not like we will be running out of drinking water. If you own a home your lawn will die. If not then keep your usage in check and everything will be the same as it was before the drought.