Should I Have my Lymph Nodes Removed As They Are Full of Silicone from Non Medical Grade Silicone?

Removal of the lymph nodes is not likely to be of any benefit to you. It is likely to be rather harmful, causing Lymph-edema --a difficult to treat and almost impossible to cure swelling of the arms. 

I am not sure who told you not to have a biopsy.  If there is a medical reason to perform the biopsy, your plastic surgeon should be capable of doing a biopsy without endangering the implant. Get yourself another opinion. Best wishes.

Based on your description, I am assuming that you had silicone injections to the breasts, perhaps in a country other than the U.S. I have seen patients from Asia with your particular problems. Unfortunately, the treatment for silicone granulomas often involves a subcutaneous mastectomy for severe cases with axillary lymph node dissection/excision. This treatment may be the only way to address the pain caused by the non-medical grade silicone. Thank you for sharing your concerns and question. Best wishes.