Nice coding in the 4nec2 model!
NEC2 is sensitive to segments at acute angles like this, especially near the feedpoint.
I can't see how many segments you have, but it's possible the bottom four are almost overlapping where the meet.
The right way to model this would be to extend a single wire upwards for some distance. Make it a bit fatter if you like (but respect the length/diameter ratio, at least 2:1).
Then at some point say 1/5 of the way up, branch out with four wires at about 45 degrees, and then continue with the almost-parallel wires all the way to the ring.
Maybe you have done this, I can't quite tell from the file.
You could also just model the ring with four wires, no need to make it circular, the effect will be very small.
To test the model, apart from throwing no errors,
- switch to a perfect ground plane
- turn on integration over radiation pattern
- confirm that the integrated radiated power is the same as the input power (I think... could be a factor of 2 because of the hemisphere)