It's not easy to compare suicide and crime statistics from dissimilar countries where guns are or are not available to the public, but gets a little easier to see the impact if guns are removed from a country. The UK got rid of almost all their guns from 1988 to 1992 and from all I can see by the crime statistics, doing so had no real impact on their suicide rates or the crime rates. In fact today they have even less guns, almost no private ownership and it's not seemed to have had any effect on suicides or violence. In fact without guns they have become more violent.
I continue to believe that crime and suicide rates have far more to do with cultural factors than the availability of guns. People with violent or suicidal inclinations are not stopped or inspired by the presence or absence of guns.