I am addressing your question as more of an academic in the social sciences than I am as logician.
1) This is just a weak claim with no conclusion, so I can't say anything about the logic. By "weak" I mean you use the word "often," that let's you off the hook from having to support the claim. I see no problem here.
2)
Any gun owner will tell you that toy guns and real guns are totally different.
All it takes is one owner to say the are the same to make you a liar. For the same effect, write "Gun owners will tell you that toy guns and real guns are totally different."
Even though they look similar, if you’ve only ever played with a toy gun, you’re not going to likely know much of what you’re doing if you just decided to use a real one.
The statistics may be on your side but salience is not, meaning people will disagree. Toddlers accidentally shoot dozens of people each year. Pulling a trigger of a loaded gun when the safety is off is not that difficult.
Games are the same way. No matter how similar the actions on screen look to real life, the idea that it is easier to go from pressing buttons on a controller to shooting a gun than it is to go from shooting toy guns to shooting real guns is absurd. By this logic, we should ban toys.
Assuming you convince your readers that using toy guns does not teach kids anything about using real guns (I don't think you have), there are still a couple of problems I have with this. First, "absurd" is not the best word to use. I understand that outside of our world of logic, "absurd" has a less-formal meaning, but I still don't like watering down definition. Perhaps change to "a real stretch" or something like that. Second, I am not following the jump to banning toys. I think you did the math in your head but didn't show you work. As a reader, this appears to be a non sequitur to me.
3) By this point, I no longer am following your argument so nothing here is making sense. When you make long arguments such as this, it is vital to be very clear each step of the way because once you lose someone, the remainder of your argument is pointless.
Hope this helps!