I actually think you should do a test run: either a 2-mile tempo run / time trial at a pace10-15 secs. slower than goal pace or 2 x 1 mile at goal pace with 1:30 jog between the miles. Warm up three miles in either case. How fast?
Do the test at least seven days before your race. You'll have absolutely no lingering aftereffects. And you'll learn a lot.
I can't tell you what pace to select as your goal pace, but that's the point: make an educated guess, then go out there and see how the workout feels relative to that pace. 6:00 pace is an 18:38 5K. You could run a 2 x mile test at that pace. 1:30 is slightly shorter than ideal--I'd normally take 2:00--but the way you respond, halfway through the second 6:00, will tell you all you need to know. If you're feeling great, then 6:00 pace is where you should start off the race; run the first mile no faster than that, hold pace until 1.5 miles, then slowly speed up to the end.
If, on the other hand, you're hurting halfway through the second mile of the test, you'll need to dial back your goal pace in the race.
With the tempo run, I'd probably shoot for 6:15s and, again, see how you're doing 1.5 miles in--this time with no break between the miles, obviously. If you're barely hanging on, then you've got your answer. If you're flying along but feeling as though you can actually pick it up a little--well, by all means do that in the final half mile. And you'll have your answer. Your goal pace, in that case, is somewhere between 6:00 and 6:15. In a first race, it always makes sense to go out a little easier than you could and then pick it up in the second half.
I'd run a test. There's no reason not to.