Sure hope you are more clear in court than you are on here..there are MANY flaws with your thinking but without knowing the FACTS which trying to find in your post ..well let's just say not easy.
1) Who gave who 30 days notice and when exactly was that notice given (forget the 3 day for now just answer this first question first).
2) You would owe rent all the way though that 30 day notice and could be evicted for non payment if you did not pay it.
3) While you can file an ANSWER in a UD case the court will not hear/allow a countsuit as part of a UD in CA. It must be a separate case. You can offer evidence for a defense but that is it.
4) No written agreement doesn't mean anything other than no written agreement. Presumed to be MTM rental agreement by the CA courts.
5) Yes the 3-day should technically be dated the 2nd if rent is due on the first but regardless of that...you MUST PAY the full 30 days of your notice (or their notice) and cannot get any FREE time in possession.
6) Your Prop 65 is..a joke so I won't respond to it. Sure sounds like to me that this is a very immature roommate feud gone wild. Something more suitable for Judge Judy TV show vs real courtroom.
Your post is SO scattered and unclear..I'm not even sure WHO the real landlord is..perhaps this entire place is rented from another REAL landlord not even mentioned here?
Such drama. As I said..better suited for TV. I hope the above.."sinks in" a bit and helps you. Feel free to ask specific CA LL/Tenant QUESTIONS if you'd like further info.

