Joomla site transfered - re-connect, change any settings

I've transferred hosting for a client. I have a full backup of all the old files, they have been transferred and unzipped at the new host ([login to view URL]) I also have a full backup of the mysql database, I have not loaded this up to a new mysql account but I will do this (*unless you can do it quickly as well) I just need someone to ensure Joomla is running properly, ensure any basic setting are up-to-date matching the new server and ensure login to admin area is working without issue & test by uploading a media in the admin area as well.