This girl has Mono caused by Epstein-Barr Virus. The symptoms are relatively vague, but lymphadenopathy like this would be common for Mono. The CBC shows elevated lymphocytes, implying this is not a bacterial illness, so viral is likely. Combined with the lymphadenopathy, this makes us worry about Mono. The Mono-Spot test for EBV is what the question is referring to when describing the sheep erythrocytes agglutinating. From there, this question requires that you know that in EBV infection, EBV infects B cells, but does not cause them to become abnormal. Instead, CD8 cells, which are actively trying to kill the B cells, become abnormal.
Lymphocytosis associated with infectious mononucleosis is caused by an increase in the number of circulating activated T and B lymphocytes.
The atypical lymphocytes are CD8+ T- cells that are activated to eliminate EBV infected B- lymphocytes.