" Children killed because they got hold of parent's gun (which was not securely stored);"
Ok then there are a hundred other items that we should remove from houses thenm, Bleach, Gasoline , Medication etc etc .. Again the gun is not the cause it merly the catalyst. Why were the guns not locked up correctly.. It's a case of stupid people not dangerous items0
"Suicides"
Again , remove the gun and they will use Drugs, Alcohol, Pieces of rope. Gun's don't make suicide easier, it's just a tool as that moment.. All suicides are not done by shooting oneself.
"Making a start on gun control to address these areas would save many lives"
Gun Control already exists as it does in other countries where there are not the same problems.
https://en.wikipedia.org/wiki/List_of_countries_by_firearm-related_death_rate
Have a look at the deaths related to firearms and firearms per capita... Why does Finland, Germany, Norway, Switzerkand, Kuwait etc not have a huge amounts of firearms related deaths yet they still have a high number of guns per capita...
It's a culture problem no matter how you try and wind round it.