You can create an SP using xp_sendmail .Finally create a job that executes daily before you come to office and send you the mail .In xp_sendmail you can use the query :

select * from sys.databases where datediff(day,create_date ,getdate()) <=1

For backups you can configure alerts or just add the same step mentioned above with message "backup on server XXXX failed" as a step in case the backup fails in the job .

Regards