It sounds like he is the one who has boundary issues. Maybe he is misreading some signals. Guys often mistake female's friendliness and kindness with inviting signals. If you don't like him doing all of this, let him know in person politely but in a confident way that your relationship is purely professional, and you appreciate if all communications between the two of you is kept professional, including using names. I also think the bodyguard remark about your eyes wasn't in its place. Your response was right to show him the boundary.