Smiling , if you are bugging out in a car, you can carry a whole tool kit, in addition to car safety/ repair equipment, including , a 24”-30” curved head crow bar, a medium size hammerhead axe, a medium size pointy steel bladed shovel , 24”+, rubber covered handled bolt/lock/ chain cutter, hack saw with a few multi purpose rod blades, 100’ climbing rope, nails of various sizes ( to cobble together a structure, hang a hammock etc) construction helmet, leather gloves, protective googles, head lamp, etc. I also add an inexpensive hydrant wrench, suitable to local hydrants, for EMERGENCY USE ONLY, to obtain drinking water or do emergency decontamination ( Remember to shut it off tight after use ). It really doesn’t take up a lot of room. You can fit most of it with the spare tire floor hole in an SUV.
However, if we are talking about a medium size backpack and weight is real consideration my recommendation for tools is as follows: Gerber LMF II rescue knife ( But it may not pass Shelter rules, so be prepared to stash it.), A Leatherman Wave Tool or a Victorinox Champion, a 4 way silcock key , to obtain water from commercial building outdoor spigots without handles, a Channelock 86 combo pliers , wire cutter, pry bar, hose wrench (If that tool is not available to you or too expensive, then a good pair. OR. 9””-10” electricians pliers with insulated handles leather/ Kevlar gloves, large swim googles that seal for eye protection ( if you want to or need to, u can get them with prescription lenses, 2 N-95 masks, 2 pair nitrile gloves ,( if not already in ur first aid kit), leather / Kevlar gloves, aforementioned swim goggles, 50’-100’ 550 or heavier cord. & 10’ or more of Gorilla or HD duct tape wrapped around apiece of pathing flat plastic, a handcuff key/ single edge gets heavy razor blade taped inside the back of your belt to free yourself from illegal detention.
That load out should, without overweight, allow u to do required cutting tasks, light to medium prying, cut thru a fence turn ( say blocking ur , self -rescue way forward off ahighway, turn off a gas or water valve, dig a bit, mend a bit , saw a bit, cut a live electrical wire up to about 220v, in short, self rescue/ mostly legal scavenging.
As to the rest of ur kit contents , many others, especially Lifeguard , gave u good advice.