Thank you very much.

It helped to strip all gear off.
Apparently that made me able to learn skills and let them show in spellbook by pressing K (My reference to what I meant by K)

I knew that something was working since I could summon champion when I put 10 points in summoning. It was my Failsafe test.

But now I got rid of my air and geomancer futile skills and got into warfare. <3 Summoner with warfare is working for me in the setup I run with my buddies.