Mar 26, 2016 - 5:32 PM
Hi livkid1, welcome to MySwissAlps!
1st class compartments are typically available in all regular trains, not in buses and mountain trains. It's explained here. 1st class seats are definitely available between Zurich and Lucene, so I'm not sure why your booking agency comes up with 2nd class seats for this route. They may assume you need seat reservations, but note that this isn't the case. Seat reservations are hardly necessary in Swiss trains and this also applies to Zurich-Lucerne. With a 1st class Swiss Travel Pass, you can simply board any train and pick any free 1st class seat.