Not a lot of help probably but shouldn’t there be a tongue on these boards as in t&g, looks like it missing on the boards that have moved which would drastically reduce the gluing surface?
I spent a number of years surveying buildings for asbestos and other environmental hazards and have never seen asbestos inside a door in a domestic situation and that includes totally invasive predemolition surveying. occasionally come across asbestos cement sheet fixed to the surface of doors...
I can’t post a link but if you google silvadec screws there is a site beginning with uk that has installation instructions in its documentation section not a lot to say on the screw fixings except 3.5 mm pilot hole essential might be of some use anyhow
The picture shows what I think is a Loc-Line Vacum Hose, I’ve used before for welding booths in schools can’t post link but Filtermist is a supplier or search loc-line-vacuum-hose you should find it, sorry don’t know cost but if I recall correctly was not a cheap product .