#!/bin/sh
#this will uninstall ARD admin and all it's components so you can reinstall 

for file in 
"/var/db/RemoteManagement" 
"/Library/Preferences/com.apple.RemoteDesktop.plist" 
"/Library/Application Support/Apple/Remote Desktop" 
"/Applications/Remote Desktop.app" 
"$HOME/Library/Preferences/com.apple.RemoteDesktop.plist" 
"$HOME/Library/Application Support/Remote Desktop" 
"$HOME/Applications/Remote Desktop.app" 
/System/Library/PreferencePanes/SharingPref.prefPane/Contents/Resources/RemoteDesktop.bundle 
;
do
    if [ -e "$file" ]
    then
        echo "rm -rf $file";
        rm -rf "$file";
    fi
done

Upon reading further into it, you can actually go as far to do this

#!/bin/sh
#this will uninstall ARD admin and all it's components so you can reinstall 

for file in 
#Remote Desktop Application
"/Applications/Remote Desktop.app"

#ARD Agent Software
"/System/Library/CoreServices/RemoteManagement"
"/System/Library/CoreServices/Menu Extras/RemoteDesktop.menu"

#System Application Support Files
"/Library/Application Support/Apple/Remote Desktop"

#System Preferences
"/Library/Preferences/com.apple.ARDAgent.plist"
"/Library/Preferences/com.apple.RemoteDesktop.plist"
"/Library/Preferences/com.apple.RemoteManagement.launchd"
"/Library/Preferences/com.apple.RemoteManagement.plist"

#Receipts
"/Library/Receipts/RemoteDesktopAdmin320.pkg"
"/Library/Receipts/RemoteDesktopAdmin322.pkg"
"/Library/Receipts/RemoteDesktopClient.pkg"
"/Library/Receipts/RemoteDesktopRMDB.pkg"

#User's Home Directory Items
"~/Library/Application Support/Remote Desktop"
"~/Library/Preferences/com.apple.RemoteDesktop.plist"

#Reporting Database
"/var/db/RemoteManagement"
;
do
    if [ -e "$file" ]
    then
        echo "rm -rf $file";

        rm -rf "$file";
    fi
done

Thanks for the more efficient scripting method. I sometimes do things the hard way, and I think I like your method better.