@sheepblue: To add emergency contacts to your device, please follow the steps below.
Open the Contacts app > Tap the 3 lines in the top left > Groups (tap the downward facing arrow to the right to display the available options) > Emergency contacts.
Your favourites will automatically be displayed here, and can be added by tapping the '+' symbol to the right of their details. Alternatively, tap the pen symbol in the top right (above Emergency medical information) > Add member > Select the contacts you want to add > Done. Now, add them using the '+' symbol, and you should be good to go. Let me know how you get on.