I have a 3-country Eurailpass that covers 1st class travel in Germany, Swiss and Italy but not in Holland. What would be the additional cost of taking ICE International train in 1st class from Amsterdam to Koln ( Cologne )? I assume I would have to pay for the portion of the trip that goes through Holland ( Amsterdam to Arnhem I guess ). Could anybody estimate the cost of that ticket ? I am having trouble using http://ns.nl website. Also, do I need to pay an additional 2 Euro supplement for taking ICE International between Amsterdam and Koln? The ns.nl site states that " a surcharge is to be paid for Amsterdam- Arnheim leg". Does it apply to my itinerary as well? Do I pay for this supplement right at the train station, before departure?
And the last question: how hard is it to find a seat in 1st class on ICE train on Saturday morning without reservations?
Many thanks in advance for your input.