The problem in your shoulder and around left eye is unlikely to be caused by the lower back problem. If by fluttering you mean that there is a real movement in the muscles then it is likely fasciculation
. Fasciculations can be seen in a variety of diseases causing damage to the nerve
like compression etc. The test which can confirm or refute this would be electromyography
which will be performed by a neurologist
. It test in which the electrical activity in the nerve and muscles is recorded and assessed for normal patterns. Yu can talk to your neurologist regarding that. A MRI of the cervical spine
also is recommended.