Since your neurologist wasn't able to see anything wrong with you, except for the eye, ear and head pain which is likely related to a concussion, these symptoms may resolve within a few weeks to several months time.
However, pushing yourself in spite of these symptoms might be dangerous for you, not only in making your symptoms worse and longer to recover, but also as it may lead to an accident while you are cycling.
Ideally, you should rest until all symptoms have resolved. However, I understand your dilemma as a professional cyclist. It would probably be best to talk to your neurologist and ask him about this as he is the one who has personally examined you and would know if continuing to ride would be very detrimental to your health.
Thanks so much for your advice. I really appreciate it. I feel much better now knowing what you think.