Temporomandibular Joint (TMJ) Disorder: This condition is characterized by pain and tenderness in the jaw, face, and surrounding muscles, and can cause the jaw to move abnormally or feel like it's shifting around. The right side discomfort mentioned aligns with the common unilateral presentation of TMJ disorders.

Bruxism: Grinding or clenching of the teeth can lead to jaw discomfort and movement issues, especially if it occurs predominantly on one side.
Dental Issues: Problems such as abscesses, impacted teeth, or gum disease can cause pain and discomfort that might radiate to the jaw, making it feel like the jaw is moving around.
Sinusitis: Inflammation of the sinuses can cause referred pain to the jaw and face, potentially leading to discomfort and abnormal sensations of jaw movement.

Trigeminal Neuralgia: A chronic pain condition that affects the trigeminal nerve, which can cause intense pain in parts of the face, including the jaw. Although less common, missing this diagnosis could lead to significant morbidity.
Stroke or Transient Ischemic Attack (TIA): While rare, jaw pain can be an atypical presentation of a stroke or TIA, especially if accompanied by other neurological symptoms. Early recognition is crucial for timely intervention.

Eagle Syndrome: A condition where an elongated styloid process or calcified stylohyoid ligament causes pain in the jaw and face, which could be perceived as the jaw moving around.
Osteonecrosis of the Jaw: A rare condition often associated with bisphosphonate use or radiation therapy, leading to jaw bone death and potentially causing pain and abnormal jaw sensations.
Neoplastic Conditions: Tumors affecting the jaw or surrounding structures can cause a variety of symptoms, including abnormal jaw movement and discomfort.