I'm sure Antimatter is not a state of Matter. And there are some states of matter not included in the TPT: Electron Degenerate matter (White Dwarf matter), Neutron Degenerate matter (Neutron Star matter), Quark-Gluon plasma, and finally Black Hole.
Not sure. It's not my field, but from what I understand BEC is at least partially fluid?
Maybe just an object at the coldest temperature, perhaps c5 as the BEC.
Antimatter isn't a distinct state. It can theoretically exist in any of the 'standard' states - you could have anti-mercury, anti-carbon or anti-hydrogen (the most likely to actually be found), which might be in a gaseous or plasma state. You also missed at least one, Bose-Einstein Condensate, though its properties are not well-understood and it might be impossible to properly represent in TPT.