You presented the data as authoritative when it's clearly not, by the admission of its own compilers. This is a simple thing to disclose if you're certain that the portions your argument relies on are sound. Burden of proof lies with you.

>, if the homicide rate is 2x higher, the most reasonable extrapolation is that violent crime in general is also 2x higher.

Not at all. Different societies have different net values (e.g., violence as a political tool or as a means to some economic end) which will influence the deadliness of violence. So will the nature of the weapons that are available. It's reasonable to expect a trend, but lockstep is unreasonable, and you always have to question if perhaps the situation is unintuitive and higher homicide rates don't go hand-in-hand with higher crime rates for a particular example.

>How is suicide relevant to the incarceration rate?

It isn't, but the incarceration rate was put forward to advance an argument about the relative virtue (and implicitly the relative safety and suitability for a dignified living) of American and SK societies. Suicide rate is relevant. Do you want to make it to your next birthday or not?