Bash history

I am very worried after viewing my bash history as I see there is mentioned dianirentals.com which is a site we are not having 2 years. I have contacted hostgator about this issue who just said that it was somebody logging into my account and maybe it was somebody from them. I realy do not understand how is it possible somebody can be logging into my account and why dianirentals.com that especially this domain we even do not have. Can somebody help me to understand what can I read from this. Please bare in mind that I am absolute beginner and I am also very worried if I can actually showed this kind of information in public:-(

cd public_html/
ll
nano .htaccess
nano .htaccess
cd dianirentals.com/
nano .htaccess
nano .htaccess
cd wp-content
cd wp-content
cd ..
cd dianirentals.com/
ll
nano index.php
cd pages/
ll
cd ..
cd..
cd ..
ll
nano .htaccess
cd dianirentals.com/
ll
nano .htaccess
echo;find -mindepth 1 -maxdepth 1 -type d | while read dir; do echo -e "$(find "$dir" | wc -l)\t$dir"|sed 's|./| |g';done|sort -nr|head -n 10;echo
exit
cd public_html/
l
ll
cd villasdiani.com
ll
cat htaccess
ll
mv .htaccess htaccess-bak
mv htaccess htaccess-bak
touch htaccess
nano htaccess
ll
exit
ls -la public_html/
ls -la public_html/villasdiani.com/
ls -la public_html/villasdiani.com/wp-includes/
find -name "functions.helper.php"
exit
ls -la public_html/
cd public_html/villasdiani.com/
vim .htaccess
exit
cd public_html/
nano wp-blog-header.php
ll
pwd
cd villasdiani.com/wp-content/themes/decorum/
ll
nano index.php
exit
cd public_html/villasdiani.com/wp-includes/
more rss-functions.php
ll
more registration-functions.php
more registration-functions.php
exit
cd public_html/villasdiani.com/
ll
nano wp-config.php
exit
cd public_html/villasdiani.com/wp-includes
pwd
cat
less class-http.php
exit
cd public_html/
ll
cat robots.txt
exit
cd public_html/
ll
cd villasdiani.com
ll
cat robots.txt
ll
cat robots.txt
cd ..
cat robots.txt
cat robots.txt >> /villasdiani.com/robots.txt
cd villasdiani.com/
ll
cd ..
ll
cat robots.txt >> ./villasdiani.com/robots.txt
cd villasdiani.com
ll
cat robots.txt
exit
cd www
ll
cd villasdiani.com/
ll
cat .htaccess
ll
cat php.ini
nano php.ini
exit
cd www
cd villasdiani.com/
ll
cd public_html
ll
cd villasdiani.com
ll
cat wp-config.php
nano wp-config.php
ll
cd wp-content
ll
nano wp-cache-config.php
clear
exit
ls
cd public_html
ls
exit
ll
cd public_html
ll
ls
cd ..
ll
exit
cd public_html
nano robots.txt
cd ..
exit
ll
cd public_html
ll
cd africashot.com
ll
exit
cd public_html/villasdiani.com
ls -lll
cd wp-content
ls -ll
cd backup
ls -ll
exit

Thank you very much.
July