Can I get a guard card while being on summary probation for petty theft ?

Something tells me the theft conviction alone is more problematic than being on summary probation. Consider filing a PC1203.4 Petition for Dismissal.

Can a police oifficer run my license plate in a store parking lot and arrest me for a warrant. I was working in a store.?

Of course the police officer can do that. Happens all the time.

What is the process to report someone to the authorities and press charges for a crime they did?

The "process" begins by her making a police report about the abuse.

Can she be out tomorrow?

Anything is possible, but Santa Barbara County is close enough they want her.

I have a warrent for my arrest but I need my ID if I go to the DMV will I be arrested there ?

You could be arrested at any time. Clear the warrants.

Why I cannot get the name of a person signed as a lawyer in the bar association?

Are you checking the CA BAR website? And/or call the firm and ask them about this attorney. I don't see why it matters. Probably best to just...

How many Dilutes can you have on probation in San Diego CA

Sounds like your PO already told you that three is the magic number...

Call the jail and ask them. The inmate will likely call you or somebody when s/he's released.

I'm not sure where you read that--although the question doesn't even make sense.

I was told that it is not unusual for the names of the lawyers who represent schools to be present in the attorney bar ?

Any attorney licensed in CA--regardless where they work--is listed on the CA Bar website.