Bringing our dog to Los Alcazares

Hi

Can anyone help with some info please. We are driving to Spain in a week or so with our dog in a small campervan. We aim to find a long term let in the area after looking around before purchasing somewhere in the future. One of my main concerns is not knowing anything about places where dogs can be walked, preferably off the lead, in the area. I was glad to see the Garden Bar seems to be pet friendly which is good but can anybody let me know if dogs are allowed in national parks etc on leads or even if there are any town green spaces where pets can socialise.

Thanks a lot

Graham and Angela