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Like Chris, I'd question if you need the Kevlar. Kevlar is only useful if the laminate is very likely to break, in which case the Kevlar will hold it together. In something like a race car nose cone, it is very likely if not virtually certain that this will get damaged and you don't want bits of carbon flying all over the track when it does, so you would use Kevlar to avoid that. If the idea is for the laminate to be strong enough to resist breaking, then you don't want Kevlar in there because it isn't as strong as the carbon.
I also question the use of carbon and fibreglass together. You use carbon because it is very stiff, so you can use less of it to achieve a desired rigidity. Because of this rigidity, it is more brittle. Fibreglass has a higher elongation, which means it is tougher than carbon and can take more to break it. What happens when you use the two of them together is under load, the carbon will break first because it isn't as flexible. This means that the fibreglass is really carrying all of the load, and the carbon doesn't need to be there.
The only purpose fibreglass serves when used with carbon is as a 'bulker' to make the laminate thicker to increase it's rigidity, essentially serving the same purpose as a core - except it is heavier and more expensive than a core. You are already using a core, so just increase the core thickness and make the laminate skins entirely out of carbon or if you need to include some Kevlar to hold things together then a combination of those two, but leave the fibreglass out.
And finally, why do you want 3mm skins with a 10mm core? It isn't an unreasonable layup, but I just wonder why you have decided on that layup?
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