Unfortunately, you haven't addressed any issued here, except to show how upset you are.
Although you don't want my advice, I'll give you some (you're welcome).
One is that, haveing not only been in ourt a lot on my own business, I have often sat for hours waiting for my case to be called and listening to other cases. Judges look at these cases as minor disputes that unfortunately people cannot settle themselves, and they are not interested in punishing anyone unless the someone has really cheated. They also want to settle all the issues in the case, not just a part. If you stay, play the child sympathy card in court, and want just a reduction in rent and to accept all of the other violations, a judge will suggest the compromise that you leave and that the LL release you from the lease. If you stay (because of low rent) and leave your child to breathe moldy air from the next room, he will note that and call it to your attention. He may even feel duty-bound to report this to DCW (Department of Childrens Welfare) who will send a social worker out to wor with you and guess what they will try to convince you to do? So, do you really want to place your child's health below your promise to have a yard which has laundry waste emtying into it?
Next, you say that you have a $2000 security deposit. In CA, LL can take not more than 2 months rent, that means that you are paying at least $1000 per month, which is pretty high for a 2 bdrm unit in the SF Valley, especially a dump such as you describe. You can leave and still get lower rent, and your child can still have her own room. Looking at my newpaper this morning, I see The Americana Warner Center apartments, advertising 2 bdrm for $800+ and 1 bdrm for $690+, with $700 security deposit, in Canoga Park, about 2 miles from you, with exercise room, fireplace, pool & spa, covered parking, laundry facilities, and a balcony or patio (877)261-4333. Your child can probably go to the same school.
Finally, after all of your anger, I can see a genuine problem about your inability to make your way in life without expecting help. You even asked me to come and help you to move, plus expecting laws that will "protect you". Well, there are laws, but you have to use them to protect yourself and your family. One law allows you to leave despite your lease, another law allows you to spend up to one month's rent to on genuine untenantable items. Getting your rent reduced doesn't really solve any of your uninhabitability problems, especially since you could get a decent place to live for less money.
I'll give you a few more pieces of advice. Where you are living (SFV), rental prices are depressed these last few years since 1994. So, don't be fooled in paying prices like the Westside. You can get great bargains on rent in the Valley, and without having to put up so much in security.
Next, according to research reports that I get, prices in the Valley are expected to increase about 8% this year, as spillover from the Westside which will average abut 12% increases. Additionally, right now is coming off of the Holiday season, the weather is still a damper, and there are not so many tenants looking for units. All this means that right now is a good time to get yourself situated into a place that you like, before rents go up and you can establish yourself as a really desireable tenant which might protect you against large rental increases.
We all make mistakes. Your biggest mistake is not that you rented a place, then found that it wasn't what you expected. Your mistake is not being able to act and move out, especially to provide your child with a decent place to live, when you found you had made an earlier mistake.
And yes, I did graduate, more than once. I try to use my education (which is not in Real Estate) to help people, but people like you don't appreciate it.