Hey there, first off congratulations on taking the first step toward confronting your finances head on and make progress. It sounds like you're in a tough situation after a divorce- you must have hard days sometimes. It would be great if you had family that could help temporarily but you said that's not an option.
Do you have any friends with a basement or something they'd be willing to rent to you for a short time at a reduced cost? Anything massive like that to cut your rent significantly would obviously make the biggest difference right off the bat. Or perhaps you could downsize significantly for a year? Ie one or two bedroom down to a studio with a special corner divider as your sons room? I know it doesn't sound glamorous but if it's the difference between starting to come up for air or getting further into debt...
I don't know much about car insurance, but your monthly cost seems high, we have a 2012 and it's only like 70/mo with progressive. It would definitely be worth shopping around a little to make sure.
63 also seems high for just internet- consider switching to another company to get an intro rate then asking to extend it when it runs out. Alternatively, do you need internet in the home? Seems like a crazy question, but if you're always at work, kiddo probably gets computer time at school, and I'm sure you could go to a library in a pinch. And now I'm seeing you have a cellphone from your employer... That may mean it would be even easier to cut out internet at home. Or perhaps a neighbor would consider letting you hop on their signal every once in a while if you offer to pay a percantage of the bill.
330 car note- you're going to get a lot of flak for that on here, but we've been there too. I'll let others comment on the wisdom of selling an upside down car. It might help if you included the difference between the loan and the value? Obviously getting rid of 330 per month would be great, but you likely rely on your car for your son and your employment.
150 electricity- I don't see a gas bill so you must have a fully electric apartment. Try fans in the summer and get a little rack to hang dry your laundry if you do it at home. Make sure you turn off lights and unplug appliances, particularly the tv. Speaking of laundry- 40/mo for laundry??? This is crazy. We used to spend 20/mo at a laundromat. Does the $40 mean your paying someone else to do your laundry each week? If so, stop. Get some quarters and set aside a few hours and do it yourself.
60 in gas and 100 for aftercare both seem reasonable to me.
I am hoping your 400/mo credit cards is paying down the balances, not just keeping up with interest. Is that minimum payments? What are your rates? It may not make sense to transfer balances to a new card, when you don't have the money to pay them down either way, but it could be a good first step to save on interest once you free up some monthly cash for the debt.
I'll let others comment more on the debt situation. I've only dealt with student and car loans so I don't know much about medical and credit debt. I would say that as long as your hospital billers are happy with your $25 per month, don't worry about it until your interest bearing (credit card) debt is gone, because medical debt should have 0%interest. If you're getting fees, etc, that's a different story.
Is this a full picture of your finances? Is there any child support coming in?
For now I'd focus on reducing your rent as much as possible, doing something about that car, calling around for internet/car insurance rates, and seeing how tiny you can make your electricity bill.
Obviously bringing in more income would be ideal. Keep up the job search and look into side jobs, like night or weekend childcare. It seems that someone with customer service experience should have a lot of options. Would moving to a different area or city be an option? It would certainly open up the employment options, but may not be possible with your custody arrangements.
Good luck!