Hell yes! Love this movie. Probably one of the first that I watched where I really started becoming interested in the process of making films. Alfonso Cuaron is a genius and I love everything he has done so far.
Corridor Crew is a cool channel where VFX guys break down good and bad cgi. 9:03 is where they cover that infamous shot.
I agree, I don't think Jasper is his Dad. Julian mentions she is sorry about his Mom, but I took that for sorry for your Mom passing away.
Also, I think the oral thing is more of a tactic of his than anything else. He mentions how the guy's breath stinks and it immediately stops him from talking about how they're going to kill him. He uses it again to deflect attention when the guy tells him it's a non-smoking facility. As soon as he mentions the guy has something in his teeth he forgets all about the cigarettes that Theo puts through the machine. Can you think of a better way to deflect attention than to tell someone they have something stuck in their teeth? It's actually brilliant. I think this is more a way to show you that he is 'suave'. Like how Julian mentioned the time he invited a bunch of Police up to negotiate. He seems to be able to talk and figure his way out of tough situations and I think those two small scenes are good at showing how well he can deflect attention away.
Also, this video is pretty good about explaining some of the stuff in the background. https://www.youtube.com/watch?v=-woNlmVcdjc&t=9s
Alfonso Cuaron is really on the next level in his film making. I really appreciate the techniques he uses. We just got done watching Gravity for the first time, and while I don't think it's nearly as good as Children of Men, it is a visual masterpiece. I really appreciate the film even more now after diving into it again for a second watch (many years later).