What to do on your own

In Kirkenes:

Borderland Museum
Visit the monuments: Mother in war and the Russian soldier
Barentsbad public swimming pool
go for a hike on the hiking pathes (behind the musuem)

In Pasvik:
Pasvik strechtes 20-10 km south of Kirkenes. You can visit

Visitorcenter Øvre Pasvik in Svanvik
The viewpoint and tower Høyde 96
Hiking tours in the valley and the National Park Øvre Pasvik