If you work all weekend and he's furloughed he should pull his weight by doing most of the tasks which actually need doing (vacuuming, cleaning bathroom and kitchen, shopping and cooking, laundry), and he should be job hunting online, updating his CV etc but he isn't obligated to join in with tasks you invent or decide "now is the time" for.
If he's depressed keeping up with housework and job hunting is more than enough. If he's on antidepressants for chronic pain he clearly has chronic pain! The side effects of antidepressants commonly include tiredness and trouble sleeping.
You sound mismatched, though presumably you've managed til now.
Sharing necessary tasks is important but not everyone has the same definition of necessary, and perhaps now isn't the time for glossing in his opinion.
Being constantly busy isn't a virtue in itself, especially if you're buying paint and DIY materials to create work that didn't need doing. It's equally important to be able to watch the world go by without being compelled to cut down, dig up, drill into, remodel or repaint it.
The DIY and constant home improvement is your hobby, but he doesn't have to join in unless something is actually broken which he has the skills to fix, any more than you have to play golf just because he sees it as a worthwhile use of time.