All of them should be capitalized if they are at the beginning of a sentence. Drive, River, and Railroad would also be capitalized if they are part of proper nouns such as South Drive, Mississippi River, Edaville Railroad.
Yes it should be capitalized.
Missouri river
The Nile River is typically capitalized as it is a proper noun.
Missouri RiverMississippi River
St. louise river
Missouri RiverMissouri River; Illinois River
Yes, Mississippi River valley should be capitalized because it is a proper noun referring to a specific geographic region named after the Mississippi River.
Missouri (and Columbia)
NO. The Missouri river is the tributary
Missouri river
The Missouri River flows into the Mississippi River just north of Saint Louis, Missouri.