The first thing to do is take a deep breath. This is a tough situation and all at once, it's overwhelming. So, break things down......one thing at a time.
If he hasn't done it already, he needs to file his unemployment claim IMMEDIATELY. The first week after filing is considered a "waiting" period. It might take longer than a week for his claim to be completed so he can start getting checks, but they will pay retroactively except for the "waiting" week.
The sooner you get the claim filed and know what the benefit will be, if any, will help you plan.
Next, contact your mortgage lender and credit card companies and let them know what happened. Document the dates, the times, and the names of the people you spoke to. Take notes.
The next thing is the car. Find out what your options are there. You may have to sell it to get something more affordable.
Contact your local health department regarding your son. They will know about free or low cost clinics. If he has an established pediatrician, the pediatrician may be able to help you with samples of medications or know of some alternatives that will work until you get things steadied again.
Sometimes the best thing is to just get busy taking things one at a time which can help take your mind off the feelings of fear and helplessness.
It won't make you feel better to know that you aren't alone, but you aren't.
I'm not sure what you mean about unemployment wanting you to do so much to get it.
In California, you file a claim, which can be done by phone or on the computer, you have a telephone interview sheduled in which you discuss the details of why you lost your job and they verify things with the employer. Then, you just have to prove that you are actively seeking work, be able to verify that you weren't too ill or disabled to work and turn in your work search papers every two weeks.
State help can take a while and in California, they look at your assets as well as your income.
For sanity's sake, I would focus on the unemployment, assume you won't get state assistance (and if you do that's a bonus, but don't count on it),
deal with your kid's med needs, make arrangements if you can for lower payments and have your husband hit the pavement looking for another job even if it's a crappy night shift somewhere.
You really can make it through this.
Best wishes to you.