Hi @Rofa,It's so long since I've had my glove box out I'm not sure I can help here. There is of course a purple one running from the headlight tilt switch across the back of the box and through the bulkhead to below the battery.
1) I understand that 2 hoses come from that kind of connector (circled in blue). What is it for?
2) Other hoses come from (or go to) the vacuum tank/reservoir. Which ones?
3) Lastly, some hoses used to go towards under the hood, as you can see circled in red. What are their ways?
Is the adjuster = vacuum reservoir/tank?@slkbagnolet have a look at this post Vacuum headlight adjuster So, to the best of my recollection, the connection from the manifold is a grey pipe which heads across to below the battery and through the multiport grommet to the adjuster - and from the adjuster the purple pipe comes back through the grommet below the battery to connect to the headlights. It's important to connect them the right way round to the adjuster. They are quite brittle and I used small silicone tube extensions, cut from a roll I had lying around, to make the connections easier after trimming the ends of the existing pipes.
Ok so I guess you did a mistake by writing that the grey line coming from the grommet was going to the adjuster... you meant the reservoir tank right (as @Murat said).The adjuster is the little wheel that fits in the hole next to the light switch.