With some friends I did a trip to Majorca in 2013.
We wanted to experience the beautiful side of the Island (not the party-beaches) and so we rented a nice Villa in the middle of Majorca.
So we could arrange trips to every side of the Island perfectly.
From the old City of Palma to the nice countryside of Andratx, Majorca is really an amazing Island to experience. I suggest to rent a car and do trips all over the Island, because it really has a lot to offer.
We was driving from Stuttgart to Barcelona with our Old Car Opel Astra Cabrio. For us Barcelona is the most beatiful city in Europe! Nice Climate and the people there are very friendly! At Ramplas you have to care, because there you can be robbed out.
It was actually my first real trip abroad (previously I travel somewhere for education). I would say, for first summer trip it was perfect choice. We (me and Julia) booked the room through the airbnb. It was not in the central part, it was in Gracia, even better - very close to park Guelle and Sagrada.