Howdy, sorry for slow reply. I was on business trip, now excuse me, i shall answer your quizzes:
1: Depend on the ground situations. I would casually leaves my chair to my XO with a few of headlines on what he should do and if things go wrong, feel free to radio me in, then i shall proceed dealing with the CL's absolutely tons of paperworks aswell plot for future operations on the ground. And if the XO contacts me, i would use the tablet to check map while signing. Cause thats possible.
2: In this situation during ops. I would have to leave the CiC to the XO, once again. Proceed myself to the crime scene, question the CMP aswell the MPs on how did the marine die. Though explaining in details on how we resolve such situation without proper investigation. I would like to say in these headlines:
Hand over CiC to XO
Proceed to crime scene
Use the health scanner to determine cause of death.
If related to CMP and MP, proceed with determination of whether if it violates common law. Usually would be permabrig of the related MP and/or execution, though i would prefer perma'ing someone than executing them.
If not related to the CMP nor the MP team, then this is determined as a suicide and all related MP personnels are to be scolded for incompetency and letting the marine suicide. This have happened before when i was XO when a MP didn't strip a marine. He stabbed himself with a knife.