Suggested answer:
(1) Change is most commonly used in the corpus.
Examples of the verbs change and switch:
'Request the Oberleutnant's permission to change course five degrees southwards.'
... production responsibility will switch entirely to the in-house unit...
(2) Change collocates with places:
...his attendant forces him to change places with him.
(3) No, based on the corpus results, you can only switch between things:
Talland (1959a; 1959b) investigated the ability to switch between different perceptual sets as function of age.
Read about collocations here
Terminology: collocation