I would suggest looking at the World University Ranking to gauge if your private uni is a 'good/reputable university' and then to analyse if you are paid the market rate.

Remember to take the class of honors you have obtained into account. For a fresh grad passed degree from a good/reputable uni, at least 3.8k basic for engineer and at least 4k basic for ICT related (as per reported on the news in April 2016, channel 8/U/CNA, etc. keywords --> 'good/reputable university degree')

The keywords 'at least' and 'starting from' also means no NS taken into account. with NS and/or honors should be at a higher starting rate.