Adhesive for very old newspaper
I'd be tempted to have it laminated (it would take a big roll laminator; schools, libraries, or print shops may have them and the cost would be nominal).  As long as the paper is exposed to air and humidity, it will continue to deteriorate.  It will eventually become brittle.  Laminating it will keep it together in its current condition and allow you to handle it and examine it up close without worrying about it starting to fall apart.  It may be possible to laminate the sections into one continuous piece, or the sections could be laminated separately and mounted next to each other.  After lamination, you can mount them for display, and will have a lot of flexibility in the type of adhesive.