SQLite is able to do both 1) and 2).
I recommend you try it and report any problems you encounter.
With the default page size of 1024 bytes, an SQLite database is limited in size to 2 terabytes (241 bytes). And even if it could handle larger databases, SQLite stores the entire database in a single disk file and many filesystems limit the maximum size of files to something less than this. So if you are contemplating databases of this magnitude, you would do well to consider using a client/server database engine that spreads its content across multiple disk files, and perhaps across multiple volumes.