Yes, but some things are their own antiparticle. Namely, photons, Z bosons, and possibly neutrinos.
Neutrons can have antiparticles because they are made of quarks (up, down, down) so an antineutron is made of anti-up, and two anti-downs.
The only ways to determine a neutron from an anti-neutron would be to either annihilate it with regular matter or watch it beta decay.
A neutron will beta decay into a proton and W- boson (which will become an electron and antineutrino)
An anti-neutron will beta decay into an anti-proton and W+ boson (which will become a positron and neutrino)
And yes, you can have a person made entirely of antiparticles. As far as we can tell, antiparticles behave exactly the same as normal matter if you just put it in a mirror and reversed the flow of time. This is called CPT symmetry (charge, parity, and time). The time step is only necessary for certain particles that oscillate between different states in a particular order. The antiparticle does the same oscillation in the reverse order. On a macroscopic scale, reversing time is completely unnoticeable.
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