[Well, that was unexpected. Part of Price wants to act as if he himself belongs among the child friendly ones so that he can rot in his room without preoccupying himself with dealing with others' nonsense. On the other hand he knows he would just go insane so he might as well go on this mission and try something, he could either contribute to save the day and earn some respect or once again not have to deal with others' nonsense once he's dead.
That, and if he went 'home' he'd be in a prison ship floating in the middle of nowhere with the scum of the galaxy - oh, and also with his fellow inmates (Felix is worse than many of them - not worse than him, but still), so it's a win-win.]

I can guarantee that my agents have been dealing with each other and taking care of their personal business [which is not personal anymore because he shared it in his apology, whoops, but that was just the surface and there's way more to it]. They are capable of putting their differences aside and work as a very efficient team, which is going to be a crucial factor in this mission. It would be a mistake not to let them help in this situation, regardless of their appeal to children.

[He's aware that this might make him sound like a coward who wants to send people to die in his place, so he specifies.]

In the meantime, I would like to join the searches.

[He doesn't really have to specify why he's not appealing to children.]