In reply to some of this.
From the airport, head for Via Cintura and the motorway signed Inca/Port d'Alcudia.
Then. Access to Ca'n Picafort is good. It lies on the main Carretera Alcúdia-Artàthat runs close to the north-eastern coastline - carretera meaning highway.
Most of the resort is situated on the beach side of this road, but some is on the other side (including the Tonga). The motorway extension from Palma as far as the Sa Pobla-Pollensa roundabout and the widened road from there to Alcúdia has cut travel time markedly. This forms the best route to and from Palma.
Coming towards Alcúdia there are two roundabouts, the first has a garden centre off to the left. You continue to the next roundabout, go straight on and then bear right onto a by-pass which is signed Ca'n Picafort and Artà. At the end of this by-pass is another roundabout. Take the left exit and you come to some traffic lights on the Carretera Alcúdia-Artàwhere Puerto Alcúdia meets Playa de Muro. Opposite you will see a restaurant called "Las Delicias". Turn right here and take the carretera for some 6 kilometres. This will lead you into Ca'n Picafort. The distance from Palma to Can Picafort seems to vary according to what you read. The town hall says 54 kilometres; it's more like 60, but that's not a huge variance. With the new road and a clear run, the time to the airport is now about 45 minutes.
The beach is about 10 minutes walk. Just cross the main road and keep going.
The road that runs parallel to the beach (Paseo Colon) is where most of the shops are. There is a large supermarket (Mercadona) quite close to the Tonga. For children, there are few specific things to do, but one possibility is the Rancho Grande at nearby Son Serra (horse-riding, mini zoo etc).
Hope all this helps.