here's your amended script
#!/bin/bash
folder="ABC" #no spaces between assignment
useracct='test'
day=$(date "+%d") # use $() to assign return value of date command to variable
month=$(date "+%B")
year=$(date "+%Y")
folderToBeMoved="/users/$useracct/Documents/Archive/Primetime.eyetv"
newfoldername="/Volumes/Media/Network/$folder/$month$day$year"
ECHO "Network is $network" $network
ECHO "day is $day"
ECHO "Month is $month"
ECHO "YEAR is $year"
ECHO "source is $folderToBeMoved"
ECHO "dest is $newfoldername"
mkdir "$newfoldername"
cp -R "$folderToBeMoved" "$newfoldername"
if [ -f "$newfoldername/Primetime.eyetv" ]; then # <-- put a space at square brackets and quote your variables.
rm "$folderToBeMoved";
fi