I will add a big asterisk and say that my familiarity is with later Varian GCs(3800 and 3900) and I've used neither of those with an FID(MS only) but basic troubleshooting still applies.
First of all, are you using a packed or capillary column?
With either column type, do the basics to make sure that sample is first getting onto the column, and that you're also getting flow through the column.
I usually check packed columns for flow by putting the hose from a bubble flow meter right on the end of the column. I check capillary columns by putting the end in a beaker or vial with methanol in it and seeing if I see bubbles from the end. If you're not getting flow out the column, try tightening the inlet end to see if you're leaking there. Also, check, double check, and if necessary reinstall the column in the inlet, making sure to position it correctly.
Failing that, you may need to trim the column. When in doubt, 6"-12" from the front of a capillary column is usually a good starting point. I have seen blockages at the detector end.
Beyond that, look at the column's attachment to the detector. Be sure it's inserted to the proper length. Also, be absolutely sure the jet isn't plugged-they can usually be cleaned with a fine wire(the ones that come with Hamilton syringes work great). Sonicating in methanol can work also.
If you are using a capillary column, remember your makeup gas. Usually if this is turned off, you'll just get a dramatically reduced response, but it's worth checking to make sure both it is set properly and actually flowing.