I wondered if my batteries were to large too, at first, because I expected the battery door to slide on like many battery doors do, but then I noticed that the battery door has a bulge in it, so I placed the battery door over the batteries and was able to slide the door into place anyway. From the look of your photo I wondered if you had the same issue as I did.
Yes, I actually made the same discovery later. My door does fit with the original batteries I was using. Thanks for providing the follow up tip.
Finally I found time and build mine yesterday. After all the information about broken screens and so one did not expect it to work but happily it looks that most of the things work (os, network , sound, screen, keys etc)