There are numerous airlines that carry passengers daily from India to the country of Turkey. You wont get a direct flight however you would be able to get one via Istanbul or Konya. Flight operated by Turkish Airlines, Qatar Airways, Emirates are some of the prominent airlines reaching to this city.
This place is located in the middle of the Turkey's two most prominent Airport i.e. the Antalya as well as Danaman Airport. You can land at any of the two airports and from there can reach to this place through cab.
No routes by cab available
There isn't any optimal way to reach this place through rail
There are numerous intercity buses from Istanbul to Kas and hence you can try to visit this place through bus which is an overnight journey.
No routes through water available
This place is not too big and hence you can cover most of it by walking. However, in case you want then there are scooters available on rent and there are mini-buses which can carry you to some location downtown.