Expose the attribute mostLikelyTimeTSWindsGIS.kmzFile in the JSONFragmenter, and use the attribute as the Dataset in a FeatureReader set to format Google KML.
All the information you need is present, and can be extracted using only a few transformers. I am doing my best to help you to get there. But I cannot solve it for you, I can only try to point you in the right direction.
As far as I can see, you rename attribute 'id' to 'stormid', and 'name' stays 'name'.
'advnum' is present in several attributes, it is not clear which one you are trying to use. What attributes you rename to 'popupinfo' and 'snippet' is unclear.
P.S. I cannot install a new version, as I am on a computer of my employer.