All titles for home are under a revocable trust with both spouses name listed as trustees.

OCCUPANCY: Only those persons whose names appear on the Lease may occupy the Rental Unit without our prior written consent.

My biggest concern is primarily bogus esa rules where tenants can get a dr note saying they need a pet or pets and then having one for free without my consent especially if it is a restricted breed I can’t insure.  

Don’t try to do it with out the owners consent.

See B2-2-01, General Borrower Eligibility Requirements for additional details.)If the property was owned prior to closing by an inter vivos revocable trust, the time held by the trust may be counted towards meeting the borrower’s six month ownership requirement if the borrower is the primary beneficiary of the trust....Requirements for a delayed financing exception...The original purchase transaction was an arms-length transaction.

The reason this works and avoids the due on sale clause is because of something called the Garn-St Germain Act of 1982 - there is language in there that allows you to change the property's title into an inter-vivos trust - examples of these include - revocable living trusts AND, you guessed it - land trust. 

(there was a tax lien and a cancellation on that lien filed back in 2015) Is there a way to figure out if the existing mortgage was ever satisfied or what the current balance is without getting written consent? 

My husband specifically put in the lease that no additional people could move in without consent.

And they can charge $250 repair and maintenance without consent from owner.

Just follow the consent process at your local planning department.