Having feed issues. I think the best way to resolve them is to make the bolt longer and add a "chamber" that the dart can be pushed into. This chamber will fit the darts really loosely, but will provide a well for it to be pushed into PRIOR to being rammed into the barrel. That way there won't be any opportunity to the foam of the dart to buckle.
I posted some thoughts on a chamber and ram made of brass here a little while back based on some prior experience. Of course other materials that fit closely (or can be made to fit closely if one has access to a lather and such) could be substituted.
Mine was made to be used to feed a three-dart RSCB from a Nerf magazine, but it can be re-configured for something like the Caliburn. The essential parts were a loose-fitting barrel material and a conical-tipped ram. It fed very reliably without the "dart clipping" seen in traditional ("Angel")brass breeches