There are a number of contradictory sources on this point - see the discussion of Amroth's family below (note 4).
3
According to some versions of the story, Amroth was the inventor of the talan or flet, hence this name. In some sources, most notably Appendix F of The Lord of the Rings, it is suggested that the name Amroth is originally from a Silvan dialect.
4
The issue of Amroth's descent is not entirely certain - a number of versions are given in Unfinished Tales of Númenor and Middle-earth. The version given here appears to be most consistent with the information given in The Lord of the Rings, but others exist.
In particular, one tradition states that Amroth was the son of Celeborn and Galadriel - Christopher Tolkien suggests that this idea post-dates the publication of The Lord of the Rings, and was later rejected in its turn. In another version, the details are broadly similar to that given above, but the earlier King of Lórien (never explicitly identified as Amroth's father) is Malgalad, not Amdír.