There are several time-sequencing problems regarding who had what parts of the Faaw Shyraac (and it's keys) and when each item passed into someone else's hands (from the timeline, as well as section 3.1, page 169)
(all dates TEI)
1315: Oran Jatar separates the staff and creates the boxes/keys.
- Oran himself keeps the Riig Pronaa and apparently all three keys.
- The Raathtruliik is given to the Eleven Brothers of Buir Dom.
- The Dathmaur Shryak is given to Voriig Kye (this means that two of the pieces are presumably on Vog Mur at this time, although in different vaults.)
3845: Nandaar Darian is killed by Kimul Khama. It is said here that Khama finds the key to the Raathtruliik in Nandaar's possession - but Nandaar shouldn't have have the key at this point. The timeline entry for this event (page 22) confirms that at this point Nandaar allegedly has the blue key, but again - it hadn't been stolen from Oran Jatar yet. This could be explained by a later reference in section 3.1 that Jatar made multiple keys(?) for the artifact's boxes, making it possible that Nadaar may have had the original blue key. This is not made clear anywhere that I can find, and in fact page 169 mentions that each key is "unique", implying that there's only one of each. We have a contradiction.
4199: Khama dies. Page 169 says that he gifts the Riig Pronaa to Kiku Makhala - but he didn't have it at this point, since it wasn't even stolen (by Elor) from Oran Jatar until 4379. The timeline entry for this event (page 22) makes no mention of Khama having possession of the Riig Pronaa at the time of his death. The page 169 reference to the gift of the Riig Pronaa is clearly in error.
4379: Elor Once Dark steals both the Riig Pronaa and the set of three keys from Oran Jatar's vaults. He apparently retains all of these items at his home until 6036.
6036: Elor steals the Raathtruliik from the Brothers of Buir Dom, as well as the Dathmaur Shryak from Voriig. He later throws the Dathmaur Shryak into a lava lake in the Ash Lairs under the Spine of Emer (with it later coming into the possession of the Twins.) When Elor returns home, Andraax erases his memory and takes the Riig Pronaa, ultimately placing it in the tomb of Kimul Khama (who at this point is long since dead already). The passage refers to him possibly "giving away the keys as curiosities". Andraax returns the Raathtruliik to the Brothers of Buir Dom.
6053: (from the timeline on page 27; this is not mentioned in section 3.1/page 169): During the Ahrenreth meeting on 1-45-6053, Schrek reads Voriig's mind and discovers the hiding place of the Raathtruliik, in the possession of the (apparently not very "security-conscious") Elven Brothers of Buir Dom. On 1-47-6053, he sends Oan Lyak to (successfully) steal it. She gives it to Schrek, who obviously knows what's in the box; he in turn gives it to A'Kesh for 'study'. No mention is made whether the box is ever opened by any of Oan Lyak, Schrek, or A'Kesh - indeed, it's said on page 108 (A'Kesh's laboratory) that the Raathtruliik is still "shielded in it's box". Entry 14 says that the box is locked and the key is not with it. It's not even clear whether A'Kesh himself knows exactly what is in the box, not yet anyhow.
As for the location of the keys...the red key is said to be in the possession of Sendar/Sendil with the (empty) box for the Heart of Agoth (but how did the twins get it, if the keys were at Elor's house? Did he take the key with him to throw away with the Dathmaur Shryak in the lava pool??), while the clear laen key "can be located anywhere convenient for the GM to further the plot; it could even be a mysterious gift to a PC." (page 196). The problem is that pesky blue key - who had it, and when? How did Nandaar Darian come into possession of it sometime prior to 3845 if Oran Jatar allegedly has all three keys more than 500 years later?