Some reasons we can trust the Disciple's accounts (Gospels)

1) A Disciple's training WAS memory work. Disciples were ready to graduate from their rabbi when they could quote the rabbi verbatim.

2)It was acceptable to condense or summarize a story but not to add to it.

3) Students kept written records. Rabbi EE Ellis said "if your rabbi is teaching and you have no paper, write it on your sleeve."

4) Jesus spoke in poetry - the rhyming rabbi - making him easier to remember.

5) The events were memorable, making them stay fresh in the mind.

6) As an oral society, they were better at remembering spoken words.

7) The early church regarded the writings of the apostles as scripture and "protected" them.
Tertullian, when writing about baptism, said "if the writing that wrongly go under Paul's name" (The Acts of Paul)
[my apology for not knowing the following fellow's name - I got this item from a speech] Tekel (sp) wrote using Paul's name as author and was removed from church office - disciplined for fabricating the text.