1) Can you tell me if the word "counter of frozen food, frozen food counter" can be replaced by "freeze counter"?

2) Go through the arcades as far as the baker's. At the baker's turn left into Piccadilly Street.
3) Cross the road on the zebra crossing./ Go past the zebra crossing/ Go through the gate/Cross the zebra crossing.
4) Th ghost tells the protagonist about his story (and not: tells his story to him)

1) "Freeze counter" is not used in this context.

The rest are correct.