Daniel has kinda covered it - you need to build up one of your runs to cover more mileage, to at least 10miles and I don't think you need to go over 15 miles. Personally for my first half, I only went up to 10 miles so that completing the 13 miles on the day added extra sense of satisfaction. The long run should be at least a minute per mile slower than your target race pace.
Intervals are optional, but definitiely help. You may want to mix this up with tempo runs, which would be 4 to 5 miles at your target race pace (or a bit faster if you feel up to it). If you do intervals one week and a tempo the next week would probably be the best combo for your first HM.