None of those examples needed a poleriser mind 😉 In my camera bag there are the following:
Set of ND Grads (1,2,3 stop) – all soft edged as I tend not to be shooting stuff with flat horizons 😉 These get the most use of anything
3 stop ND – just to slow down exposures a bit when I need to.
Circular Polariser – used ONLY to cut down reflections. The saturation boosting ability used to be handy when shooting on film, but on digital – no need.
You need to remember that anything you stick infront of your lens is compromising the quality of the recorded image, and that goes for even the best quality filters you can get. Don't leave stuff permanently on the front of your camera for that reason, just use them when you need them. If I were shooting high altitude I may consider a UV filter to get a bit more clarity too, and cut back on post process time