The selected character is actually stable for me in v13 on 1.0.3.
Since you have faith and culture for selected holding, would it be easy enough to add Control and Development as well? For options, maybe Development Growth too (visible when mouseover). Seems like Control is a decimal value (visible when using the Marshal to increase control) so it would be similar to the Health value (x1000).
I also found the decimal value for the currently running task/job for my council members, with is also a x1000 decimal value which seems to persist between tasks. In other words, If I now tell my court chaplain to begin converting a holding to my religion, I can set the value to 99999 and it will become 99.9% complete. If the task completes and I assign a new holding, I can re-use the address.
I don't know if this is relative to anything, but it would obviously be great to expose to enable quick completion of tasks assigned to council members.