Question:
There's a local half-marathon in mid-October, is it realistic to be
ready for such an event as a newbie with only one 10K behind them?
Answer:10 weeks is plenty of time to run to a finish, you probably wont do an
optimum time but you have plenty of time to get some miles in your legs by
increasing your long run distance by 1m per week. I would look up a
beginners half marathon schedule on google and see if it looks achievable
with the amount of training time you have. Would advise against ramping up
your weekly mileage or number of runs too drastically. Try not to build up
overall mileage or longest run mileage by more than 10-15% per week.