Berkeley has a long history of regs that get passed and then struck down in the state or federal courts. 

And, I could avoid the drama of going to small claims court.

If this is your FIRST rental property, then I would strongly urge you to use an Investor friendly Real Estate Attorney to draw up an Investor Friendly Lease Agreement that he/she can defend in court.

If you follow the "collateral" theory of lending, as I do, I make it a point to understand the asset, the liquidation value and the barriers and obstacles to collecting and maximizing yield.If you follow the "emotional equity" theory, as my buddy and author Gordon Moss does in his book, 'Performance Anxiety' then you put much faith in the ability to extract cash flow and yield from the borrower's familiar attachment to the home used as security.Yesterday I attended a conference of court-appointed receivers, who are people empowered to do such things as intercede with collecting rents, cash flows and till taps.

You are correct we are not permitted legally to disagree in public however the courts have made special exceptions in regards to the interweb.

Is there a document I need to bring to court to explain why I filled eviction under a different name than that on the lease?

His wife declared she will never pick up after another's dog again and they called me.  

After the check clears (assuming it does) don't forget to update the money received with your state's equivalent of Payment of Judgment form with the clerk of court.

It was also filed in the wrong courts/jurisdiction.

You'll spend a lot of time and money chasing and anything that's small enough for small claims court isn't worth the time to get it, and anything bigger will take your attorney (+fees).