Hi welcome to health care magic forum,
Stuck something between nose and throat and getting a salty taste in throat is called post nasal drip
It may be due to allergic or bacterial sinusitis or reflux pharyngitis
Rarely pregnancy cause hyperstimulation of olfactory nerve
and may lead to cacosmia and phantomosmia (distoration of smell).
In my opinion take a nasivion - s or saline nasal drop 2 drops 3 times for a 10 to 15 days .
If no relief than see an ENT specialist
for a thorough Nasal examination.