I am an aide who a couple of years ago tried taking care of my mom, full time parent, going to school full time and being a care giver. I got to the point where I could not take on all three anymore so I told my mom that she would have to hire a home health agency to come in and help you. I felt bad but it actually ended up working out great. My mom made friends with her care giver and my mom felt that she had her dignity back.
I think that in your care I would take some time off from both jobs. As you know it is important to take care of yourself.