Alright, I somehow managed to get the audio driver from Realtek's site succesfully installed. However, the Realtek Audio Console (the one I made the screenshots of) wouldn't work with the driver, so I could not split the audio-out lines into two seperate ones. This means if I had my speakers plugged in the back it would send audio out there, and if I wanted to get it on my headphones I just had to plug them in, and it would play on there and not on the speakerset. I could not change this, as I had no interface, so I updated the driver in Device Manager, giving me the exact driver I had first. Back to square 0.
I didn't check whether the playback issue I originally came here for happened with the other driver, from Realtek's site occured aswell, and now I can't manage to install it again because I don't remember the exact steps I took to do so. I'm going off to bed now and I'll look into this more tomorrow. Thanks for your help and patience.