Probably not, would be the best advice, unless:
1. 8:45 is your normal or not much faster than your normal training pace, and you ran the race in an "easy" time.
2. 163bpm is less than 85%ish of your MHR
3. Your HR this morning was within a couple of bpms of your normal.
If so, an easy recovery run tonight would not do much harm. Otherwise treat yourself to a rest - you deserve it for a good time in your race.