If the property owner fails to comply with the notice and order, and does not appeal the notice, the inspector will file a certificate of designation as a slum property with the County Recorder's office.

I would be more inclined to serve them a 10 day notice to comply (or equivalent in your state), which would cover many bases - let the tenants know that this is their issue, let tenants know that this is serious, and get closer to eviction if it doesn't resolve.  

Also LAMC 12.22 isn't clear either - the closest I see is (A)(33)(c)(1) - "Comply with all applicable objective provisions required pursuant to Chapter 1 of this Code, including provisions stated in the underlying applicable zone and height district, Specific Plan, Historic Preservation Overlay Zone, Community Planning Implementation Overlay and other applicable zoning ordinances, policies or other documents established pursuant to Chapter 1, Article 3 of this Code."

You have to comply the terms such as lease dates and $$ amounts but with proper notice you can change the mailing address for lease payments.   

with on-site fueling, you should do environmental due diligence to determine if the tanks are in compliance with current requirements, if there is history of leaks and who will be responsible for complying with financial assurance requirements...among other issues

Guessing they'll draft a notice to perform outlining all the failures of the contractor and giving him some date to comply within.

If they don't comply within a reasonable amount of time I would send them a lease termination letter.

That would help pressure the tenant to comply with cleaning up after his dogs?

prior to maturity and have default clauses if you don't comply with such requests.

If you have a contract on it and have complied with your obligations under that contract, you have a beneficial interest and/or a contractual interest.