I believe I posted my answer already, but it seems that I don’t have acces. Therefore, I’ll sumerise in short what I previosuly posted:
1/ Fe-I: Its three axis have 4-fold symmetry so you can choose which axis you take as the z-axis four the PAS.
2/ Fe-II(a) and (b) are the same as the have both one 4-fold symmetry axis and two 2-fold symmetry axis. All three axis can thus still be chosen as Z-axis in the PAS.
3/ Only when the 4-fold symmetry axis is chosen to be the Z-axis in PAS, eta will be zero.