When you are creating your resume, you don’t need to put every random job you’ve ever had. What companies do is they look at your jobs on the resume, and at most call the employer and ask them if you worked for them and how you did at the job.
There is no way for a non government employee to know if you worked other jobs. Keep off any jobs that you worked at for less than 2 years and use every skill you learned as a skill for your resume.
Nothing hurts your resume more than having 3 or 4 jobs in a span of 2 years because it shows you are unreliable.
I work in the medical field, and everything you are saying is complete nonsense. If you’re applying for medical school or nursing school or something, talking about that experience can be part of a personal statement or entrance essay, but it has no place on a CV or resume. To a certain extent, taking care of loved ones should be a basic requirement for being human, not a special experience or qualification for any kind of job.