If your coputer restarts after recording it probably means that the drivers for your soundcard most likely aren't up to date to conform to ASIO standards.Try updating them from your vendor's website. If you had modified that option in windows [EDIT]( right click My computer and click properties. Then go to advanced and click the startup and recovery options. Once in uncheck the restart automatically box. Click apply then OK)[EDIT], you could actually see that BSOD message and error code before it restarts (looks like this : STOP : 0x0000007E, 0x000000xx, 0x000000xx) that would lead you to a proper identification of the problem.
Try using ASIO4All drivers. If that is what you are using right now, then you may need to buy another sound card that fully supports ASIO standard. Behringer's FCA202, or Creative Audiguy series are a good and cheap solution (about 90$ each).
FL Studio isn't really good with non-ASIO compliant stuff and i don't recommend recording on WDM drivers as you will experience a sound latency between playback and recording...
Cruelty's solution is probably the cheapest, although you may have trouble assembling everything into FL if your Frequency rates aren't synced (meaning if you record into 44khz in audacity and FL is still on its default 48khz setting or worse 96khz, witch would result in audio artefacting.)
Refer to both apps help files to find out how to make em on the same frequency as it would take too long for me to write it all down here...
hope this helps
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IceDelta