The baby's name is Emily Scout. They call her Scout as a nickname since that's what Danny called her before she was born.
I was curious about how DNA in identical twins works, so I looked it up. Apparently true identical twins will have a 99.9 percent DNA match. There have been instances where one twin committed a crime and left DNA behind, but investigators could not determine which twin should be arrested. So if DNA is not reliable, it seems to me that a complete physical examination of both Jason's should reveal the truth. The real Jason has been shot multiple times and should still have the scars. What about the records from his multiple brain surgeries? Perhaps dental records? I would doubt they have the exact same fillings. Finally, they need to do paternity tests on Danny and Jake. There has to be a scientific way to solve this, but the writers would rather string us along.
Speaking of unbelievable writing, Ava's scars are so minor compared to what they used to be. Is there really no legitimate plastic surgeon in the whole world who can repair what looks like minor scarring? How about Dr. Avery from Grey's Anatomy? I'll be he could do it!