Hi, Francis.
The itinerary you describe is an aggressive one, possibly even very aggressive, with almost no margin for error or delay (e.g. bad weather, poor sleep, AMS, etc). What do you plan to do to acclimate prior to starting out? Why do you want to go over Old Army Pass? Would you consider adding a day or two to your plan, just in case you need it? It also strikes me as way too early to make predictions about the weather, even for Tuesday.
Unless you are in extremely good physical shape, this strikes me as biting off a bit much for first time backpackers. I am a lifelong, four season backpacker in excellent shape, a former forest fire fighter, and have summited Whitney multiple times (including twice one season). I can count on one hand the number of people that I would, or even could invite on a trip like that.
