hi friend
as you are a dancer and a woman,the flexibility of your joints will be generally a bit more.the injury, supperadded to it resulted in anterior shoulder instability.
i suggest you to concentrate on strengthening ofrotator cuff muscles,which are the core muscles of shoulder.try in the neutral position and gradually progress in the plane of the scapula.please try this under supervision
the reply to your query whether instability has any effect over biceps tendon-yes it has an effect.when instability or pain is there the concavity compresion action of rotator cuff is lost resulting in excessive humeral head translation.the humerus is pulled mostly anterrosuperiarly by the over activity of superficial muscles,which again worsens the scenario and putt stress on long head of biceps tendon which asssists in humeral head depression