Crime/Police: Yes. But only make a statistic type of thing. Give nations Crime Rates and Crime Organizations that decrease the score, kill population, and reduce income. Police Departments can be constructed and managed to reduce the Crime Rate and destroy Crime Organizations.
Security Forces: Uh.... yeah, we do have ARMIES, you know.
Secret Service: It has no purpose. Unless you give us the ability to assassinate leaders, though I suppose that is a possibility (assassinate Mayors and Generals, but NOT Presidents).
Terrorism: Terrorism could work like Crime Organizations.
Religion: I'm actually working on an idea right now for Religions (that affect the game).
Nutrition: I'd actually go for this. The healthier food you provide, the healthier your people are. Junk foods would have to be cut down, while healthy foods would have to be increased.
Lottery: Maybe. Probably not.
Green Lifestyle/Pollution: Okay, I would definitely want this in, but within reason.
Firstly, avoid global warming entirely. It'd be better to skirt that controversial issue.
Now, there could be different types of Pollution, like Air (smog, acid rain), Water (crap in the rivers), and Ground (crap on the side of roads). It harms the wildlife, thus harming the industries that rely on that, harms health, thus harming your population, and makes people unhappy.
Green power has to be shitty, like it is in the real world. It's just a simple fact that wind power cannot produce electricity to power a nation. However, Hydroelectric and Solar provide much electricity with little Air Pollution, and make your people happy. Recycling and anti-pollution efforts can reduce pollution and save money.