Updating the PRL can resolve issues related to network connectivity for a mobile device when it roams outside its original area because the PRL instructs the device which towers to connect to. If the PRL is outdated, it won't include information on newer towers or changed tower priorities, which can lead to connectivity issues. Resetting network settings is less specific to the roaming problem and can cause more disruptions by also resetting saved Wi-Fi networks and passwords. Installing a system update could resolve unforeseen issues, but it's not directly related to the PRL. Checking for SIM card damage could be a step if there are physical connectivity issues, but in this case, the problem occurred after changing locations, making the PRL update more pertinent.