Thank you very much for that amazingly quick support.
I did what you said and now the same error as above appears but it refers to line 47 instead of 45.
The errors are still in the “shortcode / preview” box and on the front page, the error after pressing “publish” disappeared though.
However, the slider works now. (Even tough there are the errors)
I also made a new WordPress + SA Slider installation on an online server and it seems to work there without any problems. So I guess the fact that it is a localhost installation causes the problem. I’m going to set another WordPress test environment up and let you know how it worked out.
Again, thank you very much for that amazing support!