Thank you very much for the extremely useful information! I'd love to travel over the Old Lötschberg Route. It must be awesome! Hope to have the time! :)
Your One-country pass will be valid from Domodossola.
Tickets are way cheaper for Milan-Domo than Milan-Brig anyway so that's great news !
To Domodossola, you have the choice between Eurocitys and regional trains (not much longer) and then either a RegioExpress Lötschberger or a Eurocity/Intercity train.
If you have time I'd really recommend travelling over the Old Lötschberg Route (via Goppenstein-Kandersteg). The views are really nicer than the 35-km tunnel !
You can take the RegioExpress running on the old line in Brig.
Let me know if you have any other questions about Switzerland, I'd be happy to answer
Just a note : seat reservations are optional in Switzerland and nobody does them so don't bother, it'll save you money too !
Btw the SBB app is very useful to use for all your train travels in Switzerland (and even for all of Europe)