You've done a little running, but you're still a neophyte when it comes to running for a half marathon. You've finished a 5k, possibly even a 10k. Your race time is a little less important to you than getting across that finish line.
Throughout this schedule, you'll do two things. First, incrementally increase your weekly mileage and long run. Second, you'll do some gradually longer bits of running at a faster than normal pace to build up your stamina and keep your strong throughout the entire race.
If you can handle it, make up hill running part of your Tuesday workout.