As for the death penalty, yeah, they have it. Singapore talks tough but it does not feel like a police state there. When I come home to the US, I am asked 20 questions by the immigration agents. I live here, just let me in. In Singapore, they have "death to drug traffickers" written everywhere, but the immigration agents did not ask me a single question. I don't even recall the usual customs line (red lane / green lane). If you change planes in Singapore, you don't even go through security. You are released into the secure area and you just walk to the gate where your other flight leaves. If you want to traffic drugs, they may have the death penalty, but they don't really care. (They say they care, and they make an example out of one in a million people, but they don't really care. Interestingly, everything is like this in Singapore.)
Anyway, on paper, Singapore is terrible. In real life... it's not too different from any other country.
(The US seems upset about Singapore's death penalty, but we murder a lot more criminals than they do...)