Hi there and thank you for the question. I am a Registered Nurse and will be happy to help you today.
You may indeed have Sciatica (what you have described is consistent with Sciatica) but your hand numbness and tingling could be something like carpal tunnel syndrome or even ulnar nerve entrapment. I'm not sure that these two are related but as long as your Neurologist has cleared you from things like Multiple Sclerosis, or underactive thyroid, I would focus on seeing an Orthopedist to rule out the carpal tunnel or even the ulnar nerve entrapment.
At this point, I would assume that is not connected because your symptoms are vague and non-specific....if you had a system-wide disease such as MS or hypothyroidism it would coincide. Otherwise, it seems very coincidental.