Please do not think of hospitals being govt link, as they do not follow the cs pay structure at all. Generally bulk of the money in hospitals goes to the doctors (to retain them from joining private) and so the rest of the administrative positions get a smaller cut.
It is common for fresh grad to receive ard 2.8k for executive position. Granted $100 increment a year, your given salary of 3.3k is reasonable for the no of years of exp.