A same meaning or not problem:
The central core of the Ministry of Defence was the new Defence Office .
The central core of the new Ministry of Defence was the central Defence Office .
****
[A]: no

A same meaning or not problem:
SHS also has teams that compete in Archery and Bowling which are not IHSAA sponsored , but sanctioned by their organizations .
SHS also has teams that compete in archery and bowling , which are not sponsored by IHSAA , but sanctioned by their organisations .
****
[A]: yes

A same meaning or not problem:
The Royal College of Music , alongside Maestro Peter Stark , has appointed Natalia as a conductor professor .
The Royal College of Music has appointed Natalia as a Professor of Conducting alongside Maestro Peter Stark .
****
[A]: yes

A same meaning or not problem:
She finds new hope and friendship in Enzo , the replacement guitarist who inspires her to reach new creative heights .
She finds new hope and friendship in Enzo , the replacement guitarist , who inspires her to new creative heights .
****
[A]:
yes