Please see the links below as they can explain it better than I can. You are right though in that it it is the white blood cells, in particular lymphocytes, that are overproduced from the bone marrow and is the issue; it is not red blood cells directly, in the blood, causing the problem but it actually can eventually lead to anemic states due to an actual decrease in red blood cells due to problems in the bone marrow not producing red blood cells. The bruising she experiencing is due to decrease in red blood cells and platelet issues, another cell that affects how blood coagulates and clots.
As for the pus: it could be due to infection (increased white blood cells fighting off an infection) as with CLL the immune system is compromised and patients are more prone to infections, or it could be masses/clumping of white blood cells and worn out white blood cells due to over production of them that has caused the accumulation of a pus. This would cause pressure; any pressure or infection on/in the brain can affect mood and personality, treatments such as chemo and radiation can take their toll on our mood and personality, and any changes in our body (blood loss, the cell changes, fatigue, etc) can affect us in innumerable ways. Hopefully she is being treated and perhaps the links below will help in understanding it better, too for support and prognosis. Meanwhile I will include y'all in my thoughts and prayers. Hang in there!
Chronic Lymphocytic Leukemia Treatment (PDQ®) - National Cancer Institute
Chronic lymphocytic leukemia - MayoClinic.com
Chronic lymphocytic leukemia (CLL): MedlinePlus Medical Encyclopedia
Chronic Lymphocytic Leukemia (CLL): Risk Factors, Symptoms, Stages, and Treatment