Moral of the story a payoff demand can not be unreasonably with held if a party can prove their interest in the real property which seems fairly evident in this case.  

In exchange for this permission, the Tenant agrees as follows:1.To keep no more than 1 domestic dog(s) as described below.2.To pay additional rent in the amount of $ 0 per month; or3.To deposit with the Landlord a "Non-refundable Pet Deposit" in the amount of $ 250 which shall be held as security for the faithful performance of this pet Agreement and shall be used upon the termination or expiration of this Agreement for the purposes of cleaning the Premises.4.To keep the pet from causing any annoyance or discomfort to others and to immediately remedy any complaints concerning the pet.5.To keep the pet from damaging any property belonging to the Landlord or others.6.To immediately pay for any injury, damage, loss, or expense caused by the pet (In this regard, it is expressly understood that at no time shall the Tenant apply any part of the Pet Deposit towards such amounts due, but rather, the Tenant shall make restitution immediately and separately from the Pet Deposit.7.To keep the pet under control at all times.8.To keep the pet restrained, but not tethered, when it is outside of the Premises.9.Not to leave the pet unattended for any unreasonable periods.10.To hold the Landlord harmless from all liability arising from the Tenant's ownership or keeping of the pet, including but not limited to any liability resulting from the Landlord turning said pet over to local pet policing authorities should the pet be found unsupervised.11.To dispose of the pet's droppings properly and quickly.Also, to coordinate the cleanup of the pet’s droppings with the weekly lawn maintenance.12.To insure that the pet will wear the appropriate Local Animal License, a valid Rabies Tag and tag bearing the owners name and phone number.All licenses and tags must be kept current.13.Tenant agrees to control flea infestation and will exterminate if necessary, and upon demand, in any and all areas affected with full cost to be paid by tenant. 14.Tenant agrees that Landlord will not be responsible for the injury, harm, or death of the animal, and agrees to hold Landlord harmless for any damages suffered as a result of any harm caused on the animal or by the animal upon another person, guest or employee.

So what is an example of an unreasonable accommodation.

Does anyone think it is outrageous for me to think these numbers are unreasonable after I update and make the unit nicer?

You can both put that in writing and sign it, but it will never stand up in court because it's not legal to just give kids away and it's an unreasonable penalty. 

If you need to sell, and it's imminent, then it would be unreasonable to not say anything since the new owner may be looking to take possession at lease end.

They are taking all the risk with no premium for the higher risk deal.It is not that sellers financing is impossible in a sellers market, but trying to do it at unreasonable terms for the seller may be difficult.

Those things don’t seem unreasonable, especially if he has been there ten years.

Originally posted by @Nikki Bai:@Terrell Garren The builder increase the price by ~14%, in Forney, TX.I cannot say that is unreasonable.

You rented them a house with 5 burners and it's unreasonable to do otherwise.