New computer won't recognize my Firelite, works on old computer

You need drivers for USB, if you remember when you bought smartdisk you got the installation disc, that you now need for a new computer.

Try other usb port, or other computer and see whether the hdd is detected. If still not, try to go to device manager ( http://www.computerhope.com/issues/ch000833.htm ), and then assign a drive letter to the hdd. After that, try to access it from Computer, if not able to access it, format it (use quick format) and then use this data recovery program to recover your files.
http://www.facebook.com/pages/Asoftech-Data-Recovery/290956907592436?sk=info

Turn the computer off without the external hard drive being plugged in.
plug the external hard drive in a usb port, power up, the systems post boot up will find the drive and inform windows what hardware is installed.
When windows boots up, it will look at all the hardware and find the external hard drive, when windows finishes booting up you should be able to see the drive in my computer.

If you can't access your files,data recovery software can help.I used this one called Tenorshare Data Recovery to retrieve files off crashed HDD and it worked.
If needed,you can download it and scan your hard drive to preview whether your files can be recovered.BTW, you can get it from
Data Recovery for Mac OS X
Data Recovery for Windows OS