Hi GregValiant,
thanks for the above suggestions. I printed a bed level test file that I downloaded from Thingiverse, and that turned out alright, as you can see from the attached picture.
I then tried printing a different file than the one I printed yesterday (but also sliced with Cura), the two lines in Mari's gcode came out fine, as well as the skirt of the print. But as it started laying down the first layer of the actual product, everything goes haywire and the nozzle pushes the filament aside as nothing stuck!
I've tried using hairspray before with this bed, and in my opinion it just made things worse. Besides, all other files (that are not mine) seem to print fine without any adhesion problems. So I assume the issue is with my files...if anyone wants to have a go at printing a file from me, I've also attached it. You don't have to print the whole thing, just the first few layers to see if it will stick.
CE3PRO_arch.gcode