The delica is a decent little knife...but, I prefer larger. In your price range, my first thought is the Hogue/Ritter RSK MK1-G2. Larger blade, better steel, comfortable handle. If you like small, and don't mind a more "traditional" style, I prefer the Buck 501 over the Delica (and there are a couple of SFOs with upgraded steel).
As far as the Esee, it's more blade than I usually carry... but, in a survival situation, it's a decent option. The letters are just variations 6S is (partially) serrated, 6HM has a modified handle. I think 6P is the regular one... guessing it stands for 'plain' (as opposed to serrated)
And, for the last piece...are you asking for axe, hatchet, or 'hawk recommendations? They're different tools that serve different purposes. Unless I'm felling big trees, I'll pass on the felling axe...choosing a shorter handle and lighter head. Easy to pack, handles delimbing chores, and can fell small to medium trees if necessary. I'll pass on the hatchet. For breeching, occasional wood chores, and use as a weapon, I'd choose a hawk. Plenty of choices out there that aren't serious budget busters (I'd love an RMJ, but haven't been able to justify the expense on something I'm probably not going to use).
*Note - the knives mentioned are not my choices...this was simply a response to your statements/questions