Where to start...
Could you please please PLEASE edit your post and change the included screenshot to a thumbnail instead of the full image. Not only does it make your own post harder to read, but also everyone else's.
On a high level, a "segmentation fault" is a very low level error, and i would only expect to see that in the binaries (as untrapped errors) built into your ROM, not directly from script code executed by TeMeFI.
Do not post screenshots of errors. A screenshot is only part of the results, which are scroll-able! Its like you have shown me the tip of your finger, and are asking me to diagnose a brain hemorrhage.
SAVE the output using the little disk icon on the right of the fly-out menu. Then short click (a long click will delete the error log) the little bomb icon (which i thought would be pretty hard to miss) in the top right, and save off its output; we'll use these later, but there is still more reports to save off.
Next, If you looked at the menu, the item just above the detach is a "Check Detach". If you click on that and check the detach of youtube, save off those results also.
Your post is missing possible important info outside of TeMeFII. What device? what ROM and android version?
Another script I would like to see the output from, is the SQLite tests/info. Run the reports, and save off the results for
Database>SQLite Location and Version+
Database>SQLite3 Test And Help
So, from the above, you should have 4 saved off reports (if I counted correctly). Go into /sdcard/TeMeFI and zip up these 4 reports, and attach them to a post here, with the answer to my above questions regarding device and ROM.
out of interest, can you run the Battery History reports OK?