I'd replace the folding shovel with a folding saw to process firewood... use a twig stove so you don't need to carry fuel... if you need to dig a "cat hole" for a latrine, use a pointed stick
replace the band aids with larger (that can be cut down) telfa non stick pads and self adhering tape... it has more utility
a GI poncho with mosquito netting and closed cell pad might have more utility than a tent
a water filter so you can process more water, and not have to rely entirely on a finite number of purification tabs
a "push along" heavy tire bicycle or Mormon push cart to transport your daughter
I like these ideas. A slight variation on the Mormon cart is the commonly available, lightweight, and collapsible deer cart. You can haul a person or a hundred pounds of gear wrapped and strapped easily overland with one of these, and it will fold up and fit in the corner of a car trunk. They make some with an additonal loop on one end as a handle extension. I wished I would have seen that model sooner. I'm making a loop from EMT and a pipe bender. I paid about $45 for mine at SG.
Four hundred miles is a daunting trek and, depending on the disaster, what assurances do you have that there will still be shelter there? A suggestion is to get a road map and draw a circle about 20 miles wide around your location. Contact the towns within it, and make a list of their emergency shelters. You would then be covered for whatever direction you needed to go, based on the scenario.