It depends on your goals.
This is your first half, so for most, the goal is to simply finish. The key to any distance race, is to gradually ramp up your long run to close to race distance (for a half, 10-13 miles), so that you are accustomed to going that distance. The key to going long, is not to go too fast. You work distance first, then speed
Unless you have a good running base, then trying to ramp up distance AND speed is a recipe for injury. I'd suggest running the long run at a very comfortable pace, don't worry about the speed. If you are feeling good, then a once/week tempo run (shorter/faster) is fine, but listen to your body. The fastest way to injury is to try to do too much, too soon.
If you are a relative beginner, then you will find you naturally get faster just because you are running more, and more consistently. runnersworld.com has a lot of information on training, worth browsing through.
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