Not a single one of the "gospels" were written by the name attributed to them. And none of them were written before 100 A.D. +/-.
So, Judas wasn't the one to write his "gospel" anymore than were Mark, Matthew, Luke, John, Peter. Those men were dead long before writings were attributed to their name, a common literary device at their time. The "Jesus" churches teach is Paul's pagan Jesus but without the pagan Jesus, very few people would ever have known about that wandering sage known as Y'shua so Paul did do a good thing, even though it was born of lies.
Jesus born on Christmas Day- no, that was incorporated because it was a hugely popular pagan feast day of wine and women and wild partying.
Resurrected Easter Sunday? No. That was a pagan holiday celebrating the return of warm weather and new crops and fertility- well-represented in western cultures by the "Easter bunny".
Worship services on Sunday rather than the seventh day of the week that Jews followed? Another way to separate the new Church from Jews, who weren't at all popular with the gentiles to whom Paul wanted to spread the message and teachings of Jesus, in a distorted form. Early "Christians", as they began to call themselves around 100 A.D., didn't want their new religion too deeply associated with Judaism.
So, without necessarily intending to, Paul actually spread the name of Jesus and superstitions and sometimes close to true stories about Jesus throughout the world and we do owe him for doing that. For teaching us about the true Jesus, the Jewish sage, Rabbi (teacher), not so much.
And "various scriptures were fulfilled". Not really. But the early Church Paul founded cherry picked various scriptures (mostly in 236 A.D.) in an attempt to give Jesus the status of "messiah" although there were literally a dozen or more "messiah" in the OT. And not all of them were even Hebrews.