Liz, congratulations on your first 10K.
If you can get your long run up to and even a mile or two PAST your race distance it's not only good training but it's a really good psychological advantage on the day - if you're getting tired during the race it's great to be able to tell yourself "well, I've run 12 miles a couple of times in training, so I know I can do 10!"
You've got a few weeks, so see if you can up the length of your long run by a mile a week for two or three weeks, then drop back to 8, then up it again (e.g. 8 - 9 - 10 - 8 10 - 11 - 12 - 6 - RACE.
Have your last proper long run a couple of weeks before the race then taper, as I've indicated with these long runs, but also decrease your shorter runs in the last week or so to make sure you're nicely rested on the day.