Yes you need a card for the dolmus, not all drivers do have them. Some will let you patty cash and use their own card to register it but others won't. Ava I left to buy in different places, depends where you are. The small market on Baris Manco, going from the dolphinless roundabout, literally few doors down on the left towards Gunlukbasi, sold them. As does the Beleditpye place behind the PTT in Fethiye I believe. Alex bufe in Fethiye near to Migros on the Calis road sell them. Other places in Tasyaka, Ovacik etc but I don't know exactly where as don't live in those places! There is a machine near to where the Gunlikbasi buses start in Fethiye, close to Mosque, where you can top up card. All places you buy cards from should also be able to add credit.
Electric, totally dependent on your usage! If you use aircon for cooling or heating, more expensive than if you don't have! Also if you use an immersion fitted to your tank, for hot water in the winter, this will bump the cost up. Saying that, I didn't use mine much last winter, and yes, I do shower!
Council type tax should be payable by the landlord I believe.