I think I'm getting sick, and my throat burns every time I swallow. What might it be, and what can I take to reduce pain and discomfort?

Sick. You may be in the beginning stages of a viral or bacterial throat infection. Please see your healthcare provider if it worsens or persists. Consider using some over-the-counter non steroid anti-inflammatory and antihistamine in the meantime and use acetaminophen for fever.