I try to stay focused on the forest and not the trees - easier said than done, though. What I mean is that I try to keep in perspective that overall, we're doing really well with managing my son's diabetes - the forest. If we don't handle an individual event in a textbook perfect way - the trees - it's just one event and we make note, with hindsight, of how we might have done it differently now that we know the outcome. I do second guess myself sometimes, but I try not to let my son see that. I want him to feel confident that I can take care of him, and if it's a situation where I truly don't know what to do, I will ask for help (either from the endo, our CDE or others with diabetes or experience - depending on how immediate the issue is). Fortunately, we haven't really had any cases where my son is distraught or overreacts, so we haven't had to deal with that - at least not yet.
As for what to actually do in your situation last night, our CDE gave us the rule that if we have two unexplained (that's key - unexplained) highs, correct with a shot, and change the site. I don't know how long Jacob has been on the omnipod, but we chose a different route after hearing from a lot of people, including our CDE, that the omnipod doesn't work well for a lot of children. I know there are people who love it, and I can certainly see the appeal of it, but maybe, at some point, you might see if another pump style would work better for you? We've only been using the Ping for about 4 months, but we've not had any delivery problems at all, and the tubing is not a problem for my very active son, which still surprises me.
Good luck and hang in there - you're doing a great job!
P.s. - My daughter is not diabetic, and, like acidrock, I've been known to freak out a little when she's ravenously thirsty - like after a basketball game when she should be thirsty. I'll admit to poking her finger a time or two just because she was on the hunt for water!