What are some possible causes of burning in my mouth, throat and chest? It feels like I gulped down a hot drink and has been going on for two days

Burning . There are multiple possibilities, including acid reflux. You need a clinical examination to make an accurate diagnosis. See your medical doctor or an ENT specialist.
Hard to say. May be acid reflux, side effect of a medication, yeast infection of mouth and throat, etc.. best to have it checked by a doctor. .
Possible GERD. Get examined and evaluated for GERD or gastritis with reflux. I suggest starting on PPI therapy such as OTC Nexium or Prilosec as well as antacids like Mylanta or Maalox.