There are plenty of places in the NT where one author substantiates another, e.g. the birth of Jesus in Bethlehem (Mt and Lk), some of the teaching and actions of Jesus and, most importantly, the death and resurrection of Jesus.
On what basis do you know that these reports are trustworthy?
As explained before because we have independent reports of about a dozen people, both individuals and groups, were convinced they saw Jesus after his death by flogging and crucifixion and the tomb was empty. There has been no explanation put forward by your side which explains all the evidence better, in my opinion, than that God exists and raised Jesus from the dead.
Why do you think they are untrustworthy (apart from perhaps not wanting God being in charge of your life)?
For a start you don't have an explanation: you have claims in anecdotal reports that 'about a dozen people' saw Jesus post-resurrection and there was an 'empty tomb' - these are claims of uncertain provenance and are not historical facts, so how do you know they are the truth?
Why on earth you keep asking for an explanation from 'my side' beats me, since you presume that these claims are facts that are explainable when there is a clear risk that they are fictitious. A better and more parsimonious explanation, and one that fits known human behaviour and effortlessly covers all these claims, is that the whole story is a combination of ancient religious credulity and propaganda.
P.S. Mrs G is in charge of my life, and she says she isn't God (to be sure I just asked her).