The word "spineless" has 9 letters, including 3 s's and 2 e's, so the number of distinct permutations of the letters is:
9!/(3!2!) = 30,240
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There are 12 two letter arrangements of the letters in PARK.
There are 6! = 720 different arrangements.
None
Infinitely many. You could, for example, cut out images of the 8 letters and paste then on the wall facing you. Each letter can take infinitely many positions on that wall so you have infinitely many arrangements.
There are 172 different arrangements.