It sounds a bit rough. From both sides of the fence, having occupied rented units as well as owning one, it would be usual for the Body Corporate rules to be included as a condition, and a copy made available to the tenants with the lease. Qld & NSW.
Those with facilities commonly have included a condition that guests of the occupier can use the common property facilities if accompanied by the occupier, along with any conditions such as hours of use, bookings for tennis courts, cleaning the bbq, etc.
It is possible being a resort complex that the legal relationships are in some way different. The advice per @TheBBG is key to establishing if a similar scenario to above applies. It is more likely if it is a managed resort there is a different situation. The manager for the resort facilities would also be expected to know what the agreement is for permanent tenants. The answer he/ she offered may not be reliable though.
Without speculating on the form of ownership of the apartment you have rented, it is possible the resort facilities are independently owned and operated. There would be a separate agreement between the apartment owners and the resort facilities owner for use. If in promoting the apartment for rent the agent made any representations concerning the exisitance of the resort facilities, you would expect to have use of them. If there were any conditions of use these reasonably should have been advised prior to you signing up is my uniformed view. You may need to contact the relevant govt authority in your state to resolve.
It would be appropriate to discuss this with the agent prior, as they may have a more complete understanding and be able to resolve the issue if the resort management is not compliant with the agreements for fair use. If the agent did not reveal all of the information google “tenancy dispute resolution …state…” or something similar. There may also be based on the tenancy agreements I’m familiar with a reference on your copy of the lease agreement on whom to contact in your state.
You may find the resort management are correct. It may be the agent at fault, which is not a remedy the resort has any obligation to resolve. You may then need the support of the relevant statutory authority.
Hope you get the answer you need.