Hi Natalya -
Welcome to the forum.
Here is a partial answer.
RT second class to Pilatus Kulm from Luzern is 82.40CHF via boat to Alpnachstatd and cog-railway. With a half fare card, 41.20 CHF First class is only a few CHF more, because the cograil train up the mountain has only one class, and it is most of the cost of the trip.
The other route is from Kriens,via cable car, with change of car at Fräkmüntegg. Very similar pricing. 40 CHF with half fare card.
A half fare card is good on almost all Swiss transport for a month and costs about 100 Euros or, via SBB, 120 CHF.
A very nice hotel in Luzern, on the river, with good views is the Hotel des Alpes. Very pleasant rooms. I pick it only because i know it, having stayed there a few times. 210 CHF per night in July for a double room. Nice views, ordinary kitchen. I eat elsewhere. Cheaper rooms are available, but July is a tourist season and prices are high.
The Palace is probably the best hotel in Luzern, and priced accordingly. Usually the best kitchen in Luzern.
It is hard to give a price for a 4 course meal, but 40 or 50 CHF is a reasonable price for a pleasant meal at a nice restaurant with no alcoholic beverages. You can spend a lot more, and a spaghetti dinner is considerably cheaper.
It has been years since i was up on Pilatus. At that time, once you were up there, you could walk around on the limited paths for no additional charge.
Here is the link for information from this website:
I don't know what is meant by hiking trails. That is very mountainous terrain..
The toboggan ride is at Fräkmüntegg, a lower peak nearby, accessible by cable car, and a transfer point on the way up or down from Kriens.
8 CHF per ride on the toboggan. Good map image on this website:
The views from Pilatus disappear on cloudy days or nights.
Some people have difficulty sleeping at high altitude for the first night or few nights, although 2100 meters is not really very high. However, the altitude is noticeable. If you were to do strenuous walking uphill you would be likely short of breath until you were acclimated.
Last cograil down is at 1845; last cable car down at 1845.
Hope this helps.