Luke stayed at the house of this important deacon and there possibly gathered information for the book of acts:

cornelius in caesarea

philip in caesarea

james in jerusalem

saul in tarsus

simon in joppa

Saul in Tarsus

Explanation: Due to the author´s participation in the book of acts, it can be deduced from the "passages" that Luke was a close collaborator of the Apostle Paul, whose previous name was Saul in Tarsus. For example, the author of acts writes that "when it was decided that we were going to Italy, we delivered Paul and other prisoners to a centurion called July, of the imperial regiment" (Acts 27:1).

there is not all the infomation needed to answer this question.   we need the who was going, or we need to know what islands you are talking about.