Don't worry too much. Many times an individual leaf, even a new one the trap of which has not opened yet, will turn brown for some reason. Often it's sunburn, and occasionally it's a fungal infection if the Flytrap is in conditions of mostly static air (indoors) and is too wet for too long. In the case of your plant, it looks like a bit of sunburn to me, although that's just a guess because I have no idea what conditions your plant has been experiencing.
Regarding traps that no longer function, that is extremely common and normal for older leaves and traps, which have a limited lifetime of closings and openings, although the green leaf continues to provide food for the plant through photosynthesis.
Two other reasons why a trap would not be funtional are salt burn (too high a concentration of mineral salts in the water or growing medium) or from the trigger hairs drying too much, as might be possible on a very warm, sunny day with very low humidity and a fairly strong, dry breeze.
All of these things, with the exception of possible fungal infection, are nothing to worry about. The new emerging growth and its appearance and health is much more important than that of the older leaves. To avoid fungal infection, try to grow the Flytrap "moist, not wet all the time" if you can. Venus Flytraps prefer airy, well-drained soil. They do not prefer soggy conditions in general.
Edited by xscd, 16 August 2011 - 00:35 AM.