Why are there not many records of Jesus?

Well, historians of the time only wrote about the great heroic deeds of Rulers, Lords, Military Commanders, War Heros, and other "important" persons. Jesus was just another "unimportant" and "irrelevant" commoner (if he lived at all, and some people think he didn't) whose occupation was as a Carpenter but had began teaching as a Rabbi. Why would anyone waste expensive parchment, papyrus, or stone to write about someone that was nothing but an insignificant and boring ordinary common laborer that talked a lot?

As to records of the crucifixion... why bother when it was just one of many thousands the Roman officials ordered every year to keep the commoners terrorized into "behaving" (and in times of unrest several thousand might be ordered in a single month). No records of any significance were kept on crucifixions.

As to records of later events, these only involved commoners and they kept only an oral history until long after the eye witnesses were all dead and the events could no longer be directly confirmed.