for fixing that I would go with small brass panhead screws, screwed right through, when the panhead is flush, file the head off so it just looks like a pin, and probably file the tips if the screw is protruding the other side.
They look interesting, let me know if you want some blades made for themThank you, I'm going to enjoy using it.
The planes are form a collection of cabinetmakers or carriage builders tools which was up for auction ages ago. I think they are for finishing wide fillets on curved work. But it's a guess and the only way to really find out is to make them and see what they do.