Shelter.
A tarp is a great idea. Top marks for carrying one, much more sense than a tent as weight is cut to a bare minimum. I would advise you to start now learning how to build a good solid shelter from your surroundings. Get used to axe and saw work.
A tarp can make a great place for a night or two, but you will need a more permanent shelter for long term. No axe or saw, no home
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Do carry survival bags with you - I advise a mountain survival bag that has a reflecting inner liner, shoved inside a goretex bivvie bag. These save lives daily, and you will appreciate that extra warmth as your getting your home made. Children will appreciate a place to warm up in as you work away too.
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I am sorry to sound like an ****, or you think 'who the hell is this guy telling me what to do' or 'who is he to rip my thread apart', but trust me when I tell you I am the man who will have a warm shelter, pine needle tea on the boil, nettle and lime leaf salad with fish all nice and cooked ready for me before the end of the second days bugging out. I will also be busy setting my snares to catch me a few rabbits for the pot.