Hi! Maps can be bought in any outdoor store and in quite a few bookstores as well. "Fjällkartan" is what you need, I don't remember the numbers, but it should be easy to find out. When it comes to equipment - depends upon what route you're taking, the Western route to Kebnekaise is a walk-up so proper clothing, good boots and, probably, trekking poles is all you need. Be aware, though, that summer starts quite late in these latitudes, there can be a lot of snow as late as Midsummer.

yes late summer/early fall is the best time for climbing. I was there in late September and snow was already setting in again. There is a mountain hut at the foot of the mountain, from here it's only 3-4 hours.

Crampons not needed. There is a path most of the way. The last part is snow but quite flat. Bring compas!!! We had a hard time finding the peak and there is a cliff to the east that you don't want to fall down.

Fastest way to Kebnekaise from the Mountain Lodge is "Östra Leden". I would also bring rope, ice axe and crampons and go for the North Peak. Much more fun and soon the be (in just a couple of years?) the highest peak!

For Akka, no need to any other equipment other than sturdy hiking boots if you keep of the glacier "Hyllglaciären" and come from north. But then on the other hand you´ll need to get pass the "crux" between the two peaks. In wintertime you need crampons and ice axe to be safe while crossing here. In summertime and snow free + dry rock then no equipment needed...