I know from experience that nothing is as draining, exasperating, and mind-numbing as dealing with elder-care issues. I dealt with this for my parents and my aunt for the last three years of their lives (all died last year!)--it was a different situation from yours and I won't go on about the details. Your situation sounds even much harder than mine!
As for hobbies, as someone who has had innumerable hobbies over the years, I will say that it is a very personal thing and you have to just pursue what you find interesting. Music (especially classical and jazz) is a lifelong passion of mine, but I am glad I did not try to turn it into a career. I played the piano for years and it is HARD. If you want to excel at any instrument, you really have to give it your all and you have to LOVE practicing (unless you are phenomenally talented--one in ten million). My piano teacher was a student of a student of a student of Franz Liszt--strange because she did not like Liszt much as a composer. She always told me that some of the seemingly easy pieces are incredibly difficult to play well. Some piano transcriptions of Bach's chorales for example (Nun komm der Heiden Heiland; Ich ruf zu dir Herr Jesu Christ--transcendendly beautiful pieces) are seemingly simple, but she told me that she worked endlessly and sweated endlessly for years over these pieces before she was satisfied with them! She told me that in judging auditions and competitions, she was always interested in hearing how aspiring pianists would play the quiet, introspective pieces. Those who could crash out a Chopin Grand Brilliante Miliatary Spinato Polonaise (or whatever) are a dime a dozen, but how can you play the slow movement of the Ravel concerto in G or even the C major prelude from the Well Tempered Clavier?
Because you love music, I would suggest you continue exploring music. As the great Rachmaninoff said, "Music is more than enough for a lifetime, but a lifetime is never enough for music". I recommend you delve deeply into Bach's music. For me (and many others), he is not only the greatest composer in history but also the greatest genius who ever lived. Listen to the Sonatas and Partitas for Unaccompanied Violin, Suites for Unaccompanied Cello, Well Tempered Clavier, English Suites, French Suites, Partitas, Musical Offering, the cantatas, the Mass in B minor, etc, etc. This is to say nothing of his hundreds of works for pipe organ. Even if he wrote nothing but this, he would still be likely the greatest composer in history. One of the famous music historians once commented that the human race will never be able to completely understand the greatness of Bach and I completely agree. I was fortunate enough to visit Thomaskirche in Leipzig where he is entombed. It was like a pilgrmige to me.
You should also listen to Beethoven, especially the later piano sonatas and string quartets, the symphonies, Missa Solemnis. There was never a genius like Beethoven and I think many would place him second only to Bach. As I have told others-- I think there has never existed a greater soul than that of Beethoven.
Franz Schubert, Johannes Brahms, Claude Debussy, Anton Brucker, R. Strauss, Nicolas de Grigny, Jean-Philippe Rameau, G.F. Handel, Robert Schumann, Alexandr Scriabin, John Luther Adams, Max Reger (advanced listening!), Hugo Wolf (advanced listening!) and many more are all waiting to be explored.
This is to say nothing of the greatness of jazz music, one of the great original art forms that was created basically out of nothing by some extremely talented poor black people after the Civil War. Personally, I would not trade three consecutive notes played by John Coltrane for all the rock music ever recorded!
