Answer:
The sentences that use the colon correctly are the following ones: "Jessica's supplies for the trip included these items(...)" and "Annette left her hometown with just one (...)".
Step-by-step explanation:
In the first sentence (the one about Jessica), the colon has been used to introduce each of the items on a list. These items are the ones that make up Jessica's supplies for the trip. In the second sentence, the colon has been used instead of the semicolon between two independent clauses as the second clause explains on the first sentence. The sentence after the colon specifies Annette's goal after leaving her hometown (to see the world and experience different cultures).