I have no way of confirming if the language used in these three videos is authentic, however, they are of great interest.
Remember that Christians are a persecuted minority in Iraq, and indeed in all Muslim countries in the Middle East. Many have immigrated to the west, but as in the case of many migrant communities, they have for the most part have retained their language, customs and religion.
The second and third video are sung in Chaldean Neo-Aramaic and the second video has sub-titled the lyrics. The first song is Assyrian, and the only information given is that it was produced for a Church of the East Christmas Production in 2006.
The songs are titled: Qa Deyan Pishlokh, (an Assyrian Christmas Song), Come All Ye Faithful (Hayyo Ya Mhuyumne), and Ava Maria (Shlama Illakh Mariam). The second and third videos are both sung in Chaldean Neo-Aramaic.