Swiss Pass or Half Fare Card?

Hi!
My family of 5 from Singapore will be travelling to Switzerland for a period of 5 days and I am overwhelmed with the information about the Swiss Rail, and would really appreciate your help. The itinerary we have thus far in terms of travelling are:

Day 1: Zurich - Lucerne

Day 3: Lucerne - Interlaken

Day 3: Interlaken - Lauterbrunnen - Murren - Interlaken

Day 4: Interlaken - Jungfraujoch - Kleinne Scheidegg - Interlaken

Day 5: Interlaken - Grindelwald - Interlaken

Day 5: Interlaken - Zurich

I have calculated the costs if we purchase a Swiss Pass but it doesn't seem to be cheaper since it only offers a 25% discount on the Jungfrau routes, and a lot of our journey encompasses using the trains for those routes.

Hence, the question I have is: Does the Half Fare Pass cover all the routes I have outlined above? Including the Jungfrau routes?

>Hence, the question I have is: Does the Half Fare Pass cover all the routes I have outlined above? Including the Jungfrau routes?<

Yes.

If your group includes any children aged 15 or under they will travel with parent for free with the Family Card. You must request the Family Card when you purchase either pass.