Assuming that charge and parity quanta involve moving parts internally, then they would both reverse automatically if time is reversed - producing what appears to be CPT symmetry as a result.

No. Start with a left-handed neutrino. Reverse T under your assumption. It is now a right-handed antineutrino going the other way;

Yes.

reverse space as well to restore the original direction, if you like, although the argument does not depend on this.

A parity) flip, I presume you mean.

Because CP is broken, right-handed antineutrinos do not behave exactly as left-handed neutrinos do.

That is indeed true.

Therefore you can tell how many times T has been reversed.

Well you only said you reversed it once - and then you flipped P, but not C, leaving things in a bit of a mess - and then you tried to make out the mess was something to do with me.

Reversing T an odd number of times changes everything. Reversing it an even number of times changes nothing. You can't distinguish between reversing T different numbers of times beyond that - under the hypothesis that reversing T automatically reverses C and P.