Am I still able to send him an unlawful detainer on the home; he deposited the 1600, but he can go to any wells fargo branch and make a deposit whenever he wants...meaning I didn't "accept' the partial payment, he deposited the 1600 without telling me.Now, it gets weird...When he rented the house (21 months ago), he put himself and his daughter on the lease as people who will be living in the house. 

If I file a unlawful detainer and we go to court and she claims that i turned the water off on her and locked her out of the laundry room so she had to get a motel room will I have to pay her up to $100 a day ?

File an Unlawful detainer and hope for a default (they don't respond in time).

You of course could proceed forward with an eviction for unlawful detainer at that point but that's a decision you have to make for yourself. 

Preparing for my unlawful detainer hearing in 2 days.

If they haven't paid everything in full or moved out by that deadline, I file in court for the forcible entry and detainer and charge the tenant for those fees.

Here's what ours states:"A person with an eviction or unlawful detainer on their record may be approved if full restitution has been made.

In California, once you are awarded judgment in your unlawful detainer case, you need to file for a writ of possession.

In Calif, there's more to an eviction than just a simple posting on the door.Unlawful Detainer(aka eviction) flow chart is posted filePlace->Other Docs->Calif Flow chartpost the 3-day pay or quit with proof of service(POS)use that to file the Complaint + Summonsget the Judgmentapply for the Writ of Possession post that with POSFINALLY get approval for Sheriff's Action to enforceand that assumes a non-contested case w/o court appearances.

It could be a little less is she does NOT answer the Unlawful Detainer (your eviction complaint).If you hire an attorney (I can recommend one if you'd like), you're looking at about $800 in legal fees for the paperwork and another $300-500 if you need an attorney to go to court.Isn't California grand?