The Sultan is a dedicated Turkish Baths in Calis Beach also the Oykun Hotel has a good Turkish Baths.
As for paragliding Sky Sports in Oludeniz is always said to be best. However, as this is classed as a Hazardous Sport and is not covered by your Travel Insurance, make sure you take out extra cover before you come out to Turkey, otherwise, any hospital treatment will be covered by Sky Sports, but miss a flight home and you will pay for the next one yourself, also if you need an extra seat i.e. plaster on leg, you pay, worse case scenario a medi vac home between £30,000 to £100,000. Also any extra Hotel nights are your responsibility. Hazardous sports insurance is not expensive.