I work in a dog day care, and a large dog jumped on my back injuring me. They claim to have gave me modified work. the didn't

Yes, you can fire your worker's comp lawyer. If you believe you have a case against your employer, then consult with an employment attorney.

Do I HAVE to inform my employer if I get a second job during a WARN period?

No, you don't have to tell them.

How do you get an employer to adhere to duty changes resulting from a statewide out of class grievance for unionized workers?

Contact the union.

Can a job fire you during the 90 day probation period for unsatisfactory job performance? with out a warning

Yes

Is it common practice for a lawyer to receive more fees from the client after they have received their initial fee of 33%

Depends what the retainer agreement says, but generally costs are separate from legal fees.

No, it is not illegal.

Can I require the free rental because City needs the landlord fix the building problem? Is any CA law code support me?

The lease would have to be reviewed to advise you properly. I'm a real estate broker as well as an attorney.

If a person works 5 hours a day but every day, is there overtime due?

No. Overtime is due when you work more than 8 hours per day or more than 40 hours per week.

The statute of limitations here would be four years, as you could sue under a breach of contract theory. The SOL for failure to disclose is two...

How can you check out a Lawyer and past case history, etc.?

You can use Pacer.gov.