The Chinese space station is called the Tiangong ("Heavenly Palace") as seen in this article from the Chinese National Space Administration.
The core module that has already launched is called the Tianhe ("Harmony of the Heavens").
The rest of the modules, and details of the space station, can be found here.
You've answered your question yourself.
The launch placed the space station's core module into orbit. Hence it was a success. However, the vehicle consisted of more than just the core module. The Long March 5 rocket consists of several stages, the last one of which (the "launch vehicle") was left in an orbit that would bring it back to earth in an ...