... car le bureau de poste local n'offrait plus ce service.
In this section of the sentence the 'S' at the end of 'pluS' is pronounced. This seems at odds with the lesson 'Ne ... plus = no more/no longer' which states: -
Note that when plus has a negative meaning (no more), you don't pronounce the final 's', except when you do the liaison with a vowel following ('z' sound).
... in the exercise plus is followed by 'ce' and 'ce' does not start with a vowel and as such should not be pronounced?