I believe that none of your symptoms (swollen and itching labia, neck stiffness...) is related to Epstein-Barr Virus (EBV) infection.
Swollen labia could be due to local vein blood stagnation which is very common during the advanced pregnancy.
Itching labia could be due to a local infection or an allergic reaction.
Uncomfortable neck movements could be due to slight neck muscle inflammation which will probably pass spontaneously without treatment (painkillers).