Dear crackedtoothsyndrome,
Thanks for writing in.
From the clinical details, I personally feel your symptoms of pain, numbness and right arm weakness are not related to phlebotomy. Nerves of the upper limb like median, radial and the ulnar nerves pass across the elbow joint, but none near the lateral part of the elbow.
So I personally feel your symptoms are not due to a complication of phlebotomy. The occurrence of your symptoms could be just co-incidental during or just after the phlebotomy. If your symptoms persist beyond 48 hours you need to see your neurologist for good clinical examination and consultation. The need for EMG can be properly assessed at that point in time. For time being, you can try pain killers like ibuprofen or aspirin for the pain.
I thank you again for submitting your question. I hope you find my response to be both helpful and adequate. If you have any additional concerns, regarding your question I would be happy to address them.
Hope that this information helps and hope that you will get better soon.
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Best Regards,
Dr Shiva Kumar R