I think the key here will be remembering your pace for a half will be quite different to your pace for a 10k, and really taking the first few miles steadily.
A 10k, really, is a short run. Not an all-out blast like a 5k, but short enough to go out hard from the start, run to your limit throughout, and still have a kick for the finish. Even if you're a really steady runner, a 10k will only be an hour, max, and most people can withstand an hour of hard work.
Whereas a half is a different game. It's not the long slog of a marathon where you have to plan nutrition and water etc, but you can't just hurl yourself into it as you can a 10k, and expect to get round okay. If it doesn't go well you could be out there for two and a half hours, and that length of time on feet, if you're struggling, isn't fun.
So the important thing is to take it easy. Go steady til 10 miles - based on your 10k pace, OP, I'd aim for 10 min miles or slower. If you're still doing ok at 10 miles, then pick it up and race the last 5k hard, if you can. 10 miles at 10 min miles, followed by a 25 min 5k, would bring you in at 2.05 - a very acceptable time. It's your first go, so whatever you run will be a PB anyway! 