In the primary repression phase, 'it is highly probable that the immediate precipitating causes of primal repressions are quantitative factors such as...the earliest outbreaks of anxiety, which are of a very intense kind'.
1 A neurologist treats brain and nervous system disorders that may contribute to sleep problems.  An otolaryngologist treats ear, nose, and throat conditions. This doctor may evaluate snoring and other breathing problems associated with sleep disorders.
For very infrequent migraines, a primary care physician may be able to adequately treat you. For care of frequent migraine headaches, neurologists are the specialists that are used.