1. Talk to your carrier and see if they have a method of transferring the contacts (there are a couple of apps that are carrier associated that they upload the contacts to their version of a cloud, then the app downloads the contacts and puts them on your phone.
2. If you have a phone tools program that allowed you to use a PIM software with your old SE, you should be able to sync the contacts using that, or at least export the list as a CSV file which can then be loaded into windows contacts or outlook, or os x contacts.
3. I would have suggested using the copy contacts to SIM, but the iPhone 5 uses the nano sim card, and that wouldn't work with your SE.