I realize, that the software i mentioned just doesn't work as intented, so I will definetly buy a tuner. The guitar is actually playable.
Especially thanks to aschleman. Excellent point. The pitch/tone distinguishing is what I must work on. At any time, my hearing sense will tell me the 1st string is a "higher tone" than the 2nd, regardles which fret I hold 2nd string at. It helps a bit to hum along, I think.