Carmen's place is a quiet neighborhood, I stayed there with my parents. It is quite clean and most things seems quite new. There was no wifi, but if you are from the EU (with no roaming taxes anymore), it should not be a problem. Next time I'd go in the fall or winter because Palma is quite hot (we were there in July). There is an air-conditioning though, so you should be fine. One remark, it is not as close as 800 m to the beach. According to google maps, it is more like 1,6 km but still walkable.