Sounds like you are doing brilliantly! I think the Great North Run is a good first half marathon - not until October so you'll be an old-hand by then! It sounds like you're pretty speedy, so this may not be relevant, but I think it's good to know that there will always be thousands of people behind you at the GNR. Being new to running (and not very speedy), races worry me in case I am so slow they close then run before I get anywhere. I know there are lots of frustrations with the GNR (not good for PB's) but personally, for people new to racing I think it's good. I think if you use it simply to run the distance, not aim for a specific time it would be good. And then you have a benchmark time to aim for improvement on to go on from there. Only thing is that all places are taken now, but charity places are still available (plug plug for RNIB - see
here!). Also, not sure how easy/cheap it is to get accommodation now. Alternative for October would be the Royal Parks half marathon in London in October too - I think their cut-off is about 3 hours, so you would be fine. Good luck and keep going, whatever you settle on!