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David explaining how he trusted her and the system, and that in the end she will believe was damn good.

The exchange scene, wtf ? They come, just both of them. Supposedly to be exchanged, but they don't have anybody to take the hostages back afterwards. Nor to make sure they're not killed anyway. Then cops come before hostages are safe. And bad guys needed David for the video, but why would they need Frank alive, specially when it goes to shit, but even before ? And in the end they don't even take David, at least check that he's dead ? Do they think Frank can help with computer stuff ? He probably can't even send an email...

How bad is it that you get married in your military outfit ? It's like showing that even for this one day, you can't put your family before your job.

It was weird when they didn't bother taking David, even putting aside being able to break him in time, why would they even think that Frank knows how to stop the countdown ?
Damn, it even says "occular scan" on the computer, why would it be Frank's ? They don't even seem to doubt that for a second, there's no plan to try to take David's eye from the morgue.
Then Billy really believe that Frank is broken after a few punches in the face ? Nothing fancier, no drugs, just that ? Come on!
They found the gun, but not the knife on the small chair on which they bound him ?? It should at least have been David's pen trick...

The scenario tries to pretend that Frank and David came up with a clever trick and outsmarted the villains, but seriously, it only comes down to "the villains have lost every single of their brain cells". There is not way any single one of the steps of this supposed plan would have worked except for massive plot induced stupidity. This is common, but it's really insulting to present that as a clever plan.

As for Frank, that was much more than taking justice in his own hands, it was bloody, gory revenge, and he enjoyed it. However you can justify his other actions, he is a psychopath.