What are some reasonable reasons to reject a pet application?

We have a tenant (a group of international students) that moved into the building 2 months ago. We immediately found out that they were keeping a dog and a cat, and let the owner and the tenants know that it was not permitted and they must lodge an application to keep a pet. But they never did that, until another tenant lodged a complaint about some malicious behaviours demonstrated by the tenant, such as smoking in the balcony and in the bathroom with windows opened, flicking cigarette butts from the balcony and spitting from the balcony onto the car parking below their balcony. Only then the strata manager wrote formally to the owner about the unacceptable behaviours and keeping pets without approval. Now the tenant has applied to keep a whippet dog and a kitten, which has already been approved by the owner.

As an EC member, I intend to vote NO. Since we can’t unreasonably reject an application, I wonder what reasons are reasonable. Here are some that I have come up with, but I’m not sure if they are good enough:

1) They did not apply to keep pet when they moved in, especially when they were told in black and white that they must lodge an application two months ago. It showed that they had no intention to obey the rules.

2) They have demonstrated unacceptable behaviours and we doubt that they will abide by the conditions for keeping pets, such as carrying the pet when leaving and arriving at the property.

3) They were seen frequently with a shepherd, but when asked about how many dogs they had, they claimed the shepherd was only visiting.

4) After lodging the application, two EC members together witnessed that someone from that unit walked the shepherd to the backyard unleashed, and then walked the dog back to the unit a few minutes later, and then the person left the property by himself, leaving the shepherd in the unit. So we highly suspect that the shepherd is also kept by them but they were trying to hide the number of animals being kept, and they were already breaking the council rules and the conditions by unleashing the dog after they have signed to agree to the conditions listed on the application form.

Are the reasons above good enough?