I'd say likely yes, however don't expect a lot in terms of the actual visuals. Likely an action available in a few situations, something like a pulling animation, then the piece will actually be gone (best case I will have a separate model of equipment to drop to the ground).
Planned, but still thinking about how to implement it. Ultimately I will probably let everyone edit them directly too. The alternative is that a character's stats increase slightly after a match, depending on the result.