Which of the following cases would be heard first in a state trial court? dispute over maritime claims dispute over immigration laws damages related to an act of war damages related to a car accident

That answer to your question is damages related to a car accident. The first three (maritime claims, immigration laws, acts of war) all involve international aspects. Those three would arise if the United States (or a citizen) were to come into conflict with another country (or their citizens). The car accident, however, would take place solely within a state and thus be subject to the state's courts.