Weber test and Rinne test to rule out conductive<unk>  loss (poor man's version is to have patient hum with mouth closed and ask which side they hear it louder on; ipsilateral for conductive and contralateral for<unk> 
Otoscopic exam to rule out OM, OE, foreign bodies, perforated TM or cholesteatoma
Remove impacted cerumen and re-examine
Complete neurologic exam to rule out stroke
Audiometric evaluation (typically as outpatient)
Consider MRI to rule out acoustic neuroma, perilymphatic fistula, Meniere's disease, vascular insufficiency, MS; usually can happen as outpatient
No role for routine laboratory testing or CT head imaging in absence of other findings
Sudden sensorineural hearing loss
Acute stroke, usually AICA occlusion
Bilateral red eyes
Multiple Sclerosis
Acute vision loss 
Meningitis
Unilateral red eye
Vestibular schwannomas