The main thing I disagreed with in this message was Horn's (and I guess by extension the Living Church of God's) interpretation of the last day of the Feast of Tabernacles. It represents Christ making a permanent end of sin, not a second chance for salvation. The Book of Hebrews says "It is appointed unto a man once to die and after that the judgment." You only get this life to make things right with God.
As for people who lived before Jesus Christ came: God has always provided a way for those who really wanted to know Him to do so. We see this a number of times in the Old Testament, Job and Rahab being but two examples. As for those in parts of the world that didn't yet have the Gospel, God will literally reveal Himself to those in such places whom He has predestined to be His.
Also, Acts 12 4 is not a mistranslation. The king was celebrating Easter because he was pagan and Easter is a pagan holiday.
Finally, the people we call Jews today are not part of God's Israel people. See Revelation 2 9 and 3 9.