Most of the text on the map is self-explanatory, but basically the points are..
Volcanic Crater : Interesting 'classic' crater, signposted from the main road, 20 min walk from the farm road that runs S of the crater.
Nice walking (Buðir) : Expensive hotel/restaurant located on a lava and sand peninsula with a pretty church. Nice walks around the area, and a nice beach to the E accessible across the river at low tide.
Nice walk/Cafe : There is 1 hour walk between Arnarstapi and Hellnar where there is a tiny cafe in the harbour
Glacier, drive up the road between Snaefell and Olafsvik to get to the glacier. Possible in a car, better in a 4x4
Nice Walking (West end) : You can drive our towards the light house at the far W point and walk about in the lava field
Interesting mountain : Called Kirkjufell (Church mountain) not big, but pretty
Kayaking etc : This is in the town of Stykkisholmur, my favorite town in Iceland, shops, hotels, cafes, and a nice swimming pool. Kayak hire available for a tour around the islands etc.
There are lots of other things to see in this area as well, but this gives you some idea what is there...