This response is provided based on the information you shared and should not be used as the sole source for making a decision. You should seek guidance from the chain of command, IG, JAG or other certified agencies before making any decisions. How you chose to use this information is totally up to you and is your sole responsibility.
AR 27-10 paragraph 3-19b(7) states:
Once commenced, deprivation of liberty punishments will run continuously, except where temporarily interrupted due to the fault of the Soldier, or the Soldier is physically incapacitated, or an appeal is not acted on as prescribed in paragraph 3–21b (see para 3–21c regarding the circumstances when deprivation of liberty punishments, imposed in separate NJP proceedings may run consecutively.)