Ellie, if you want to have a short historicity discussion, well OK :)
We could have the historicity of Jesus debate but it would be a short one. I don't accept that the conflicting accounts of foreigners who a) had never met a living Jesus or anyone who had b) never met each other c) probably never set foot in the country they're writing about d) were unlikely to have even been alive at the same time as Jesus and e) have had their accounts faffed about with to an extraordinary degree over the past two millennia comes anywhere close to meeting the criteria we require usually demand of "evidence". Throw in some vague, throw away lines from a few non-Christian sources that a) were not born until after the death of Jesus and b) don't actually talk about him anyway - they just mention Christians. Josephus, of course, is an outright forgery which even Christian scholars acknowledge.
The gospel accounts - the thing is, you cannot make definite statements about the writers never having met Jesus. Many scholars still debate the Matthean authorship, likewise the book of John. Matthew is referred back to in a number of early writings as being the apostle who originally wrote in Hebrew. Scholars discount this due to there being no extant manuscripts, but there are no extant Greek manuscripts. I'm not advocating Matthean authorship - it doesn't matter a great deal to me - but trying to put across the picture of there being no definitive answer. Though some scholars will have you think so (especially some late 19th century German theologians, but let's not go there) As for Mark and Luke, it's usually thought Mark is recounting Peter's account, and that Mark accompanied Peter, and that Luke accompanied Paul and was a historian. Paul was converted a very short time after the beginnings of Christianity.
Most scholars agree on the dating of the gospels - from AD60 or thereabouts - hardly out of Jesus' lifetime.
There is little evidence of the accounts being faffed around with, especially 'to an extraordinary degree'. Christianity is quite unique in terms of the sheer amounts of early manuscript material we have. Thousands and thousands of fragments, both in original Greek and in early translations into contemporary languages. The manuscripts show an incredible consistency with each other, with later manuscripts showing unprecedented similarity to the earliest. The differences are a matter of minor grammar and spelling errors, in general, with the very odd exception in the King James version . The multiplicity of material far, far surpasses any other records we have of ancient writings from the period and before.
The 'vague, throwaway lines' from other sources are actually excellent sources of evidence. Tacitus wrote as a hostile witness, still mentioning Christian belief and practise. The part in Josephus to which you refer is not unanimously agreed upon as being fake. It is thought that parts of it may be later interpolations, but that there is some substance there from the original, as it is consistent with his writing. He mentions James as the brother of Jesus and mentions his execution. There is of course the accounts of Pliny and Thallus, and then the shedload of early Christian writings (which of course cannot be used in a historical evidential manner, but they are there)
All the points to which you refer have counter arguments. I maintain that there is a robust intellectual view whereby there is consistent evidence for the Jesus Christians follow now.
But I suspect we're not going to come to any agreement - and that's fine :)
How's the toothache by the way? I'm feeling much better thanks, not venturing into the beautiful weather much, it has to be said