The correct statement for the first one is that the wavefunction for a system of fermions must be antisymmetric under the exchange of any two particles (the wav

The correct statement for the first one is that the wavefunction for a system of fermions must be antisymmetric under the exchange of any two particles (the wavefunction flips sign). For a system of bosons, it stays the same. The correct statement for the third one is that energy is not a substance; it's a number that is conserved as a result of the invariance of physics under time translations (see Noether's theorem). Thus, mass has an energy associated with it (see stress-energy tensor), and a particle that has mass can be converted into other particles that do not have mass, but energy is just a property that remains constant (except under GR, but then that's a whole other can of worms). bmnmasdas pointed out what I meant with HUP.