Domain Name Issue

Two issues:

One – the hosting/first domain name is alextest.x10host.com but i changed my domain name to alexatwater.com. When I go to alexatwater.com it “works” but once i click away from the home page, the url reverts back to alextest.x10host.com

Second – if you visit alextest.x10host.com you will see the bottom 3 “feature” icons appear correctly. However, visiting the same site via alexatwater.com makes those icons square

I am very new, and am so close to finishing this site that took me some time. Some help on fixing these issues would be much appreciated. Thank you in advance! 🙂