Thanks for that information. The reference ranges at your lab are a bit different from mine.
Your WBC was 11.4 (5.0-10.0)
Lymphocyte Absolute was 4.7 (1.0-4.0)
Monocytes Absolute, Automated was .90 (0.05-0.60)
Lymphocyte Percent was 41.2 (20-40)
Monocyte Percent was 7.9 (0.0-6.0)
In general, high lymphocyte count is caused by infection (viral, bacterial, or parasitic). It can also be caused by inflammation from an ongoing autoimmune disorder or some leukemias, or vasculitis (inflamed blood vessels). Typical infections are mononucleosis, tuberculosis, whooping cough, or HIV/AIDS.
High monocyte count means the same thing: a chronic infection or inflammation.
Beyond that, the blood test results don't tell you anything, besides a chronic infection or inflammation.
Now your primary provider's job is to find out what is causing the infection or inflammation. If it is mononucleosis, a simple blood test can check for Epstein-Barr virus.
If the infection is viral (as mono is), antibiotics will not help.
Since you have a history or migraines, have they prescribed migraine treatment, such as anti-inflammatory (ibuprofen or naproxen) and oral sumatriptan? That would seem to be an obvious first step, even when you aren't having nausea, auras, etc.