Hi,
well, if your database was created on the other domain's hosting, which you've not renewed - could be the reason, as it seems that Prestashop cannot connect to the database.
You should go and ask the hosting support, as they know the best how your hosting and domains configured.
Maybe you should try to use the IP of the database server in the database configuration file : /app/config/parameters.php , variable : database_host
Also just for curiosity?
Did you had a multistore configuration, and both domain were in a Multistore config?
Kind regards, Leo