I'm not from your pharma industry, so take it as a casual comment from a salaried worker.
1) do not leave for lower pay unless your current position is made redundant or is UNBEARABLE. It's like taking two steps back!
2)
NUS is not exactly a commercial institution, ie., it does not exist for profit, your pay is not going to go up much further without promotion!
3) Private Sector companies are always much more well regarded by prospective hiring managers and head hunters.
Be patient, your next opening will come sooner than you think.