In the first paragraph, the writer immediately started by saying all the good things of him before moving on to the main topic. This is effective as someone would help someone who has praised him then compared to one that didn't.
He later moved on to show the reasons of why it's not good to have a gun. Giving different reasons and also evidences and scenarios. And while doing so, he kept on linking the scenarios with his son, which i felt was also a kind of emotional appeal. In all, i felt that the most evident theory he used was Logos