Forget about the databases. Your problem is that you are not reaching SQL Server, so whether there are databases or not is irrelevant.
I note one thing that seems incorrect to me:
Data Source=192.168.1.120\SQLEXPRESS*,1433*.
1433 is the default port for a default instance. But you have a named instance, and a named instance will typically listen to another port. True, you may have configured the instance to listen to port 1433, and your post seems to indicate this.
But if this is the case, you should simply say DataSource=192.168.1.120
and not specify instance name and port number. Also, be aware of that if you specify both instance name and port number, the instance name is ignored.
Again, what you should focus on to reach SQL Server. Forget about backups, forget about the ransomware attack. You have installed SQL Server and now you are trying to connect it from - I assume - a remote machine.