I'm looking at the video at 17:35, "Beginning of the Millennial Reign." The quote is from the Epistle of Barnabas 15:7-9. It reads:
"Therefore, children, in six days, or in six thousand years, all the prophecies will be fulfilled. Then it says, 'He rested on the seventh day.' This signifies at the Second Coming of our Lord Jesus, He will destroy the Antichrist, judge the ungodly, and change the sun, moon, and stars. Then He will truly rest during the Millennial reign, which is the seventh day."
Epistle of Barnbas 15:7-9
Here is the Epistle of Barnabas in its entirety. Section 15:7-9 reads:
Barnabas 15:7
But if after all then and not till then shall we truly rest and
hallow it, when we shall ourselves be able to do so after being
justified and receiving the promise, when iniquity is no more and all
things have been made new by the Lord, we shall be able to hallow it
then, because we ourselves shall have been hallowed first.
Barnabas 15:8
Finally He saith to them;
Your new moons and your Sabbaths I cannot
away with. Ye see what is His meaning ; it is not your present
Sabbaths that are acceptable [unto Me], but the Sabbath which I have
made, in the which, when I have set all things at rest, I will make
the beginning of the eighth day which is the beginning of another
world.
Barnabas 15:9
Wherefore also we keep the eighth day for rejoicing, in the which
also Jesus rose from the dead, and having been manifested ascended
into the heavens.
Presumably the author erred honestly because as can be seen, 15:7-9 bear no resemblance to what is on the video.
It does appear that 15:4-5 is what was meant:
Barnabas 15:4
Give heed, children, what this meaneth;
He ended in six days. He
meaneth this, that in six thousand years the Lord shall bring all
things to an end; for the day with Him signifyeth a thousand years;
and this He himself beareth me witness, saying;
Behold, the day of
the Lord shall be as a thousand years. Therefore, children, in six
days, that is in six thousand years, everything shall come to an end.
Barnabas 15:5
And He rested on the seventh day. this He meaneth; when His Son
shall come, and shall abolish the time of the Lawless One, and shall
judge the ungodly, and shall change the sun and the moon and the
stars, then shall he truly rest on the seventh day.
It is immediately evident that the text is markedly different. In particular, in addition to other discrepancies, the words "Millennial reign" do not appear. They are a speculative superimposition. The Epistle in fact says that "in six thousand years,
everything shall come to an end" and "then shall he truly
rest on the seventh day." There is no mention of a "Millennial reign."
The expression "the Antichrist" does not appear in Scripture. The only references to "antichrist(s)" are found in John's epistles. Paul's reference to the "Lawless One" ("that Wicked" in the KJV) and John's references to "antichrist(s)" are not correlated in or by Scripture.
There's no question that this video presenter is "dispensationalized."