Over the course of doing the 4 attempted conversion, converter is having a hard time connecting an mounting the images that you are attempting to convert. kindred is an unknown image type, and mybackup is recognized ... but there is a hard time connecting and the DiskLibConnectionFault is like a communication error.
I would try to copy the file locally (if possible), and then send the resulting VM directly to the ESX Server's local stoage. This will greatly reduce communication errors. You can always move the VM off of the local storage to another location after a successful conversion.