It is a very lovely place to stay, and I can highly recommend you to rent this apartment if you are traveling to Rhodes.
We stayed 3 people in the apartment and it had everything we neded.
A nice local beach is in walking distance, not crowded and perfect as we see it. It takes 5 to 10 min to walk, if you cross the street and go down the first street on the right.
We had rented a car and can only recommend it, since you need it to get into Lindos and to get around on Rhodes.
Everything is just easier with a car or moped of course ;)
The local supermarket is easy to find/get to and it had everything you need :)
There are many good restaurants in Lindos.
We stayed at the apartment for a week, and it got cleaned and we got fresh towels twice, that was very nice :)