I'd start another heap, Trailrat! Can't have too much compost! :)
The other thing - taking the weeds off the plot removes a fair bit of soil; at least via the compost heap, the soil comes back, refreshed and enriched.
- Using a compost heap on my old plot - my beds were 6 inches higher than path level.
- Some of those who didn't use compost heaps - their beds were 4 inches LOWER than path level. That's a lot of soil to lose.
I've skimmed two (out of an eventual 10) beds, and already have a "turf" heap about 2x2x1 metres. Next heap starts this week.
Good luck - Gavin