What a terrible set of circumstances. So sorry.
I'd recommend paying off the credit cards. We did this a few years ago. It took a while but the feeling was amazing. I was dumb and did close an account or two -- do not do this, if possible, because it's a major hit to your credit. I'm still climbing out of the credit score hole (mostly out now).
Use either the avalanche method or the snowball method for paying off cards. Concentrate on one card at a time while you pay off the balance. Selling some items or making extra $$ can go toward this. Celebrate every time you zero out a card (with something that doesn't cost nearly anything, like baking a cake.)
Sign up for Mint or Personal Capital and get those cards linked on there, or put them in a spreadsheet, so you can see your progress. Fall in love with ZERO (I love seeing my card balances at zero.). It feels like deprivation at first but eventually it feels like empowerment.
Ways to make extra include cooking, cleaning, selling items on Craigslist, babysitting, dog walking, tutoring, mending, recycling, Uber, Lyft, various gig apps like Task Rabbit, part time admin work, home organizing...
Ways to level up your income include finding the top industries in your local economy and finding a way to get inside them via internships, freelancing, etc. Or entrepreneurship (preferably online, with no capital investment).
After you deal with the credit cards, I'd sell the car and replace it with a perfectly good model that's a few years older and way less than half the price. Or... no car! As others have said, not a lot of point in paying it off. You could potentially refinance with a private loan, though, with a lower interest rate. Or drive Uber/Lyft with it. But the car loan, if you are current, helps your credit.
I have been there -- bad credit, excess debt, no regular savings habit, emergency funds depleted by all the emergencies and very low income while raising a family plus supporting extended family. I had bad money beliefs and a lot of denial. I also never thought I could get a higher income. You have come to the right place to change all this and come out ahead! I did!