You are probably best off not to address it on facebook. Most people frequent facebook and post this kind of stuff for confirmation of their cognitive bias. No matter what you say, they and those inclined to believe them will never be convinced.
However, once you look at these objectively some of those are obvious. Of course having a gun in the home makes someone more likely to be killed by a gun. Otherwise they would be stabbed, or hit with a hammer, or pushed down the stairs, or strangled, or whatever by the person who wanted to kill them. Of course you will not see a lot of statistics of people being shot in self defense in a home, usually they run like hell when they realize the homeowner is armed or avoid them in the first place.
The suicide is perhaps the most interesting, and most difficult to analyse objectively, but statistics are easily available. Compare the US and S. Korea. In the US the leading means of suicide for young males is by gun. Suicide prevention activists here say that the reason for this is unnecessarily easy access to guns. In S. Korea, the leading means of suicide for young males is jumping from tall buildings. Suicide prevention activists there say the reason for that is unnecessarily easy access to upper floors of tall buildings. The suicide rates are fairly similar among young people are similar but overall rates are actually much higher in S. Korea where firearms access is much more restricted. Conversely, in rural China, most of the population has no access to guns or tall buildings, so the most common method of suicide is pesticide poisoning. The one thing they are right about, is that the availability of an assuredly lethal method of any kind deos correlate to an increase in suicides. Another of those obvious moments...if people have the means to easily kill themselves, more of them will succeed. Now, in any modern society there are going to be any number of means to kill oneself if one thinks hard enough about it.
http://en.wikipedia.org/wiki/List_of_co ... icide_ratehttp://onlinelibrary.wiley.com/doi/10.1 ... 8/abstracthttp://www.who.int/bulletin/volumes/86/9/07-043489/en/Unfortunately, it is far easier to make or post misleading cartoons on FB than it is to think critically, objectively, or logically.