I did a quick rundown on the DNA testing. In my opinion, it is pretty much worthless.
One thing that is mentioned in passing in the Jesus Tomb documentary is the DNA testing. It immediately struck me as odd that they will release fairly detailed supporting documents for all other "evidence", but that the DNA analysis is not really shown in detail anywhere.
There is a lot of precedence for the testing of ancient DNA, most notably on mummies. DNA testing on mummies has shown this type of testing to be quite hard. DNA is one of the first things that decompose. Decomposition will break up the DNA strands, which will lead to false sequencing. The factors that lead to decomposition include temperature, PH and the availibility of oxygen and water.
Read more here: Critical assessment