Last weekend there was major progress and some rethinking...
First, I drilled the output jack hole.
Then, with a newly bought 1/8 inch (3,2mm) roundover bit, I rounded the edges of the body.
Round the bouts, it seemed the routing bit was too low. But things worked out pretty good after some sanding.
Round this time I was worried about the gap between the body and neck in the neckpocket, which you can see here.
I thought a good option would be to replace this neck with the one of my Squier '51, which I don't play much anyway.