Half Marathon training

You're on the right path. I'd be careful with the tempos at or under race pace, though. HM pace + 5% (i.e. marathon pace) or a hair faster would probably be better. You could do those up to 60 minutes, and you will build a lot of strength.

If you're intimidated by the distance, you should make a point of incorporating a long run of 13-15 miles into your training. Run the first couple easy the whole way; then, in the next few runs, run easy for the first half and experiment with different intensities of high aerobic pace in the second half--marathon pace up to goal half-marathon pace.

Two or three weeks prior to your goal race (and definitely NOT one week before your goal race), run a 14 mile long run in which you run the first 10 miles easy, the next three at marathon pace (brisk but comfortable, and NOT flush against half marathon pace), and the final mile at 10K pace, which will feel like 5K intensity. That's great race prep and gets you ready for what a hard pace in the last 5K of the race feels like, but without the wear and tear of extended fast training. Those fast-finish long runs are fun and quite dramatic; you're basically waiting around for the explosion at the end. Get it right and you'll carry that feeling into the race with you as quiet confidence.