Hawk pertains to Kether, as poised in the ether and beholding all things. Remember that Kether is primarily the individual point of view. The Soul beholds all things and changes the place according to its going. Thus in the Egyptian tradition the hawk is the symbol of the highest type of Godhead.
The Swan as representing Aum. See Liber LXV, Cap II, 17-25. See also Book of Lies, Cap XVII.
The branches of the Banyan tree take fresh roots where they touch the ground ans start new main stems: this is connected with the special idea of Kether implied in the Book of the Law.
The Almond in flower is connected with the Aaron's Rod that budded. The Almond is the proper wood for the wand of the White magician, but the attribution to Kether should really be to the middle pillar as a whole.
The Diamond is white brilliance; it is pure carbon, the foundation of all living structure. The atomic weight is 12, the number of Hua, the title of Kether (but this is a reference to the Zodiac which makes the connection with Zero, on the one hand, and 2, on the other).
Ambergris has comparatively little perfume of its own, but it has a virtue of bringing out the best of any others with which it may be mixed. In the same way,, Kether cannot be said to have any intrinsic qualities, but its influence brings out the highest faculties of those ideas which it illuminates.