my thoughts on these
ftp://virga.sfsu.edu/pub/satimgs/gevis/big/0405/23/04052320_gevis.gif the system in may looked alot like the unnamed 2000 subtropical storm while in the Caribbean, and winds were sustained according to buoys at 40mph, so it was very likely a subtropical storm
ftp://virga.sfsu.edu/pub/satimgs/gevis/big/0405/25/04052520_gevis.gif
when it got into the atlantic looked like a depression

ftp://virga.sfsu.edu/pub/satimgs/gevis/big/0406/13/04061320_gevis.gif
gulf system may have been a depression; i have my doubts because the surface center on loops appeared to be west of the main convection

the Atlantic system was probably a subtropical storm either here
ftp://virga.sfsu.edu/pub/satimgs/gevis/big/0406/14/04061420_gevis.gif
or here
ftp://virga.sfsu.edu/pub/satimgs/gevis/big/0406/17/04061720_gevis.gif (look closely at tropical appearance in center)

the Bermuda system may have been, but again, i have doubts, because the center was not all that organized