Am I missing smth or is there no skill choice in character creation?
I made a fighter and as far as I know there was no option for me to chose a skill! In 5e, fighters choose two Skills from Acrobatics, Animal Handling, Athletics, History, Insight, Intimidation, Perception, and Survival at the start!
You are missing something. Left of the Attribute tab you have the Skills Tab at the top. You can select/deselect skills there. Also under the Origin Tab furthest left allows you to choose a background which comes with two skill proficiencies.
Hope that helps.