The rail planner app does not book trains. It just forwards to some of the websites that can book them.
The trains you show until Zürich all have optional reservations but you can book them for just €4.50 per person and journey via DB (use "Seat only”). The remaining train to Milan can be booked via ÖBB indeed for 11€. You can also change to a regional train in Chiasso and save 11€. Seat reservations within Switzerland are not necessary and generally a waste of money (unless part of a journey booked via DB, since they charge optional reservations per journey and not per train).
I see you have already activated the pass and a travel day. That is not necessary. Moreover, it is not a good idea to do that in advance, since you can loose a travel day if you change plans and forget to cancel your travel day. You can only cancel a travel day until 23:59 CET on the day before it starts.
Finally, please don't use the rail planner app to plan. It is not reliable enough for that purpose, since it is only updated about once per month. National planners or apps are more reliable (e.g. www.trenitalia.com for Italy). For international planning, the DB website or DB Navigator app are a good choice (updated twice/week).