Who are "we" in this sentence? I assume you meant to say, "but the company is not the owner."
Again, who are "we"? All you've told us that you are the general manager of a property management company, and it's probably reasonable to infer that your employer has a contract with the property owner relating to the management of the property (which is presumably rental property).
No.
You can ask anything of anyone.
As the property manager, your company may very well be a proper defendant, even though your company doesn't own the property. In other words, while the allegation that your company is the property owner may well be in error, your company may still be a proper defendant. I suggest you contact your company's liability insurer immediately and request that the insurer confirm coverage and appoint an attorney to defend your company. I suggest you also review your contract with the property owner to determine if your company has any entitlement to indemnity and defense by the owner (although, in this sort of case, it may well be that your company would owe a duty to defend and indemnify the owner).