Gloss “sarno” by Ardalambion (Helge Fauskanger)

Does that include every meaning of table? Like a piece of furniture, a black board and a list?

If you look at this link: eldamo.org the word comes from a root meaning "saw", so the intended meaning was most likely the piece of furniture, especially wooden. Whether later in the development of the language its meaning would expand similarly to "table", that's a matter for speculation I think.

I personally would use paluhta for “table” (an updated version of EQ. palukta) because its root PAL survives in later forms of Quenya and is still associated with “flatness”.