What you have is a set of Type 1 PostScript fonts, which are a set. One file is a suitcase containing all of the low res bitmap screen fonts. The rest are the outline printer fonts. As an example, here's Adobe Garamond.
Adobe Garamond
AGarBol
AGarBolIta
AGarIta
AGarReg
AGarSem
AGarSemIta
The first file which I highlighted in green is the font suitcase of bitmap screen fonts. The rest are the outline printer fonts.
1) The files for a Type 1 PostScript font
must have both the screen and printer fonts for a given set in order to work. They also must be in the same folder.
2) The suitcase of bitmap fonts will work alone, but output will be terrible since the system will print the fonts using the 72 dpi screen fonts in the suitcase if the outline portions are missing.
3) Having only the outline fonts will not work. You can see the fonts, but they will not load. That's not a problem with Font Book, Suitcase or other font manager. None of them, nor the system itself will load outline fonts without the matching suitcase of screen fonts present.
So what you have, for some odd reason, or two different suitcase files of the bitmap screen fonts. Which are the ones ending in .suit and .bmap. Take either one of those and put it in a folder with all of the printer outline fonts (the ones with no extension). Then they should work. If not, and you used the .suit file, try the .bmap one.
Also, if this was a free font, post a link to it here and I'll take a look at it.