The Ai service you are currently viewing is owned by IT-360 Ltd (https://it-360.co.uk)
Of course you can, just make sure you click the litlle blue "save" icon. Next to where it says "Untiltled Document"
Once you have saved any content it will be available under my account - My Documents
No problems, in the Box on the right that shows your "Generated Result", you will see a box that says "Unitled Document", just click there and call it whatever you want.
p.s.: Make sure you click the little Blue icon to thr right of it to SAVE your results.