Thanks for the quick replies.

I am indeed using the AUR package, and your edit pointed me in the right direction.

If anyone else is using the AUR filebot package for Arch (or an arch variant) I was able to resolve the extracting issue by editing the file:
/usr/bin/filebot

to look like:
#!/bin ...

Sorry, I misread the debug flag setting. I now realize that it should be:
export JAVA_OPTS="-Dnet.filebot.logging.debug=ALL"

Doing this does not seem to provide any additional useful information when running the filebot -extract command:
filebot -extract /mnt/downloads/deluge/complete/Last.Week ...

Maybe I'm not applying these control flags correctly because I can definitely extract the archive with
7z e <Archive_Path\File_Name>.

If I'm in a terminal I apply the flag to my environment by running
export FILEBOT_OPTS="-Dnet.filebot.Archive.extractor=SevenZipExecutable"

and if I want to ...

I've been running a headless Arch Linux server for a few years now and using Filebot to extract, rename, and move downloaded files using the following script that is run by the Execute deluge plugin:

#!/bin/bash
TORRENT_ID=$1
TORRENT_NAME=$2
TORRENT_PATH=$3

filebot -script fn:amc --output "/mnt ...