You carefully omitted the high cost for taking rash actions in most asian countries. With only few exceptions, guns aren’t allowed in China, Japan, or Korea (to name a few places you might go looking for honor). The same is true of several other asian countries. Without a gun, multiple killings are simply harder to pull off. That doesn’t mean murder doesn’t occur.
Asian countries are very serious about controlling guns. For example, in China, you don’t even have to use your gun to be put in prison or killed for it: “Illegal possession of firearms is punishable by police supervision, criminal detention, or fixed-term imprisonment for up to seven years. Illegally manufacturing, trading, transporting, mailing, or storing five military guns, five gunpowder-propelled nonmilitary guns, ten other nonmilitary guns, fifty military bullets, five hundred nonmilitary bullets, three hand grenades, or any explosive devices that can cause serious damage is punishable by fixed-term imprisonment of not less than ten years, life imprisonment, or death. The same punishments may be imposed for theft or robbery of firearms, and using firearms to commit robbery.”
You also may want to go look up the actual murder rates. We rank high for multiple homicides, but we are not topping the list for murder. So, without guns, Eastern Asian killings still occur at a rate of 1.3 people per year to every 100,000 people (actual 2012 count 19,828). Here in the U.S. and Canada, the rate is 3.9 per 100,000 people (actual 2012 count 13,558). More people actually died from murder in Eastern Asia in 2012, but it was a lower rate by population. It’s their gun control, not honor, that keeps their murder rates lower.
If you really want to find high murder rates, look to the Africas, Central and South America. That’s where crime and corruption are (very unfortunately) rampant, as well as people fighting over land that can still be held by whoever has the most force.
P.S. As I said in an earlier post, as current gun laws stand, this crime was committed with a legally-owned gun. So, I am not trying to aggressively turn this into a gun-control debate. I’m just pointing out the information you omitted in your own discussion. Honor has little to do with the numbers.