1. Are there any moves afoot to write a version of GAP in C++ and/or and
object-oriented version of the GAP language?

If so I'd be interested to know about it.

If not, would there be any interest in such a project?

2. I'm currently looking into algorithms for generating the coefficient of a
given symmetric function in a given product of other symmetric functions
(with the possibility of extending it to functions of a given symmetry
type). A special case of this is of course the multinomial theorem, which is
already done in GAP.
It therefore occurs to me that I may well be reinventing the wheel here, so
I'd be interested in any similar work in progress or completed.