I am not a windows user, but it looks like you may be missing a delegate library for freetype and/or ghostscript.
type
convert -list configure
or on windows
convert.exe -list configure (I think)
look for the line that starts with DELEGATES. Mine says:
DELEGATES bzlib fontconfig freetype gs jpeg jp2 lcms lqr openexr png tiff x11 xml zlib
See if you have freetype and gs listed. If you do then perhaps your eps file is bad or not where you think it is located. If you do not find them listed, then you need to install some delegate libraries:
see
http://www.imagemagick.org/download/delegates/