Went on 11th May to Alcudia Pins. Just a 20 min bus ride south of Alcudia, based in Playa de Muro (sp). Not lots to do at our resort area (outside hotel) but enough, some nice walks and few shops, restaurants etc. We had pony rides for kids, trampolines and a park where we were but I guess more to do in the town of Muro though.
I recommend booking taxi from airport to Alcudia. It took us just over 2 hours to get to our hotel as it was last on the list or next to last iirc. We had a 16 month old who was a little ****ed off and so did a few other couples/families. Nightmare to say the least.
Alcudia Old town is nice. Roman ruins are good and a nice walk around them, if your interested in that sort of thing. That cost 3 euro each. Also, its a lovely town to walk round, with loads of shops, cafes, restaurants, historical buildings, the city wall to walk around and a bull ring to look around.
The beaches are fab!! Sunbeds cost a fair bit on them so didnt use them, seas so clear and goes out quite shallow. We didn't get much time to do anything else but there are loads of things on offer such as glass bottom boats trips around the island, water sports etc.
Buses are very cheap, E3.10 for two of us to go to Alcudia from our Hotel.
We didn't go to Palma, as we didn't fancy the long trip across the island on the bus as our son didnt do very well on the way there, however we would have probably hired a car if we drove, as in Palma there is an aquarium, Marineland and other great sights.