Jeep, water purifier, first aid kit, katana. Wish I could take flashlight, but it’s a 5th option on the list.
No reason to take guns since rounds will be gone quickly and you’ll end up with a worthless piece of metal. Chainsaw is clunky and fuel-dependent. Fire axe is also clunky and actually not that good at chopping wood - not to mention you’ll make a lot of sounds while doing so. Machete is bad on both fronts. Crossbow - almost perfect, but bolts tend to break too.
Jeep adds to mobility, which is very handy. Fuel-dependent, but then again, with such mobility you can reach some gasoline. Doubles as a place to stay in extreme situations, without losing mobility, rendering it able to escape emergencies.
Water purifier will allow you to move on without acute diarrhea
First aid kit is a must in literally every survival situation. You should be able to prevent infections and restore mobility as quickly as possible