BLUF: IAW AR 600-20 you can be required to implement a family care plan.
IAW with AR 600-20 a family care plan should be implemented. See references below., Basically if the If the family situation is interfering with the Soldiers ability to meet mission requirements the family care plan should be implemented.
Now usually the chain of command will work with a Soldier going through this type of situation. You might want to consider speaking with the commander/1SG on open door policy and explaining the situation. Let them know when the situation will be resolved. Explain the secondary consequences (late fees) and how they are impacting you and potentially your ability to continue to serve. Most importantly bring two or three solutions to them. Then ask them to put themselves in your shoes.
Usually the chain of command is caring especially when the understand the issue. They will usually make an exception or find another solution for a given period of time.
5–5(1)…. Plans must be made to ensure Family members are properly and adequately cared for when the Soldier is deployed, on TDY, or otherwise not available due to military requirements.
5-5 b(4) Commanders of AA and RC Soldiers, regardless of the Soldier’s grade, will conduct or arrange for Family care plan counseling and require a Family care plan be completed when any of the following apply: …A Soldier whose spouse is incapable of self-care or is otherwise physically, mentally, or emotionally disabled so as to require special care or assistance
5-5 c. Soldiers must arrange for the care of their Family members in order to be— (1) Available for duty when and where the needs of the Army dictate. (2) Able to perform assigned military duties without interference of Family responsibilities.