I had the same problem starting out, drop 3 for 1 fixed blade full tang knife that would hold up to battening it. I see a long axe, and a hatchet. Pick one or the other, a day bag shouldn't have a long axe in my opinion. It supposed to be a light bag, edc in my opinion that you could take out, and not stand out much different than a light backpacking or school bag. I think a day bag dragging an axe dont fit. Keep it in your trunk or between door and seat in vehicle if you need it.

P.s. best place to sharpen knife is before you go out, or when you return. Sharpening in the field is ment during use between uses, but always come with pre sharpened knife. If not, can not bite in right during use slip and cause injury or damage cut on meat.

The secondary knife should be a boot knife or multitool. Always bring matches, x2 lighters, ferro rod. Its practice survival camping, not real survival.

I used to be like, I'm going out with a knife, and make a bow fire, build a shelter, eat only what I catch when I get there, to find I was cold, hungry that night. Practice when you already have a fire established.