This has been a fascinating discussion, both in respect of the individual entries and the thoughts about crosswords in general. I am an octogenarian, but could not be further from being a Classics scholar. But I enjoy a real challenge such as this one, so long as I have some chance of completing it.
I started very slowly, and was helped by some of the early hints. However, I have ended up with some problems that have not been addressed by others.
First, I still do not fully understand the theme instructions, about ignoring small child, despite Jazzgirl's explanation. The seven letter X solution is the name of a god, and yet it is fully defined as the capital of Lycia. Is it a themed or non-themed solution? And I can't find a solution, themed or non-themed, that makes sense for the four letter X.
The others that I don't have are both the Ks, and the non-themed F, for which I have *R*E*E*