A quick and dirty website backup script

backup-sites

#!/bin/bash
# a quick and dirty backup script.
# if you have a websites folder and some databases to backup
# this script might be a good starting point.
# this script assumes you have user named admin.

BASE_DIR='/'
TARGET_DIR='sites'
BACKUP_TIME=`date +%Y%m%d%H%I%S`
BACKUP_FILENAME="${BACKUP_TIME}-${TARGET_DIR}"
BACKUP_DIR='/home/admin/backups'

# Backup the folder
echo "Backing up $TARGET_DIR folder ..."
tar zcf ${BACKUP_DIR}/${BACKUP_FILENAME}.tar.gz -C $BASE_DIR $TARGET_DIR

# Backup the databases, replace database{1,2} with real databases
echo "Backing up the databases ..."
mysqldump database1 | gzip -c ${BACKUP_DIR}/${BACKUP_TIME}-database1.sql.gz
mysqldump database2 | gzip -c ${BACKUP_DIR}/${BACKUP_TIME}-database2.sql.gz

chown -R admin:admin $BACKUP_DIR

echo "Done!"

You have a typo on your BACKUP_TIME. You have hours twice date +%Y%m%d%H%I%S.
I think what you want is date +%Y%m%d%H%M%S.