Good start. Just think of the things that your house provides. You have a means to cook and boil water at home, so fire should be a top priority. Water of course is a priority as is shelter which can be something as simple as a military poncho or tarp and some bungee cords or 550 cord. I'd put in a few different ways to make fire such as a lighter of course and then some tinder. Look into other ways to make fire and research what was done 100+ years ago; things like flint and steel along with char cloth to catch the spark.

I'm not telling you to get rid of the rifle that you have, but have you considered something like a Thompson Center G-2? It's pricier, but you can get barrels in everything from .22LR to .30-30 and with a screwdriver to remove the forend you can swap them out in seconds.

Speaking of screwdrivers, a good multi-tool is worth its weight in gold. A good quality knife as well for game or a ton of other uses is a must have as well.

Just my thoughts on the subject. One last thing. You might try packing the stuff in the big tote in smaller packages and labeling them so that if need be you can open it up and grab some stuff if you have to leave the big kit behind for any reason.