Should we still be keeping the 10 commandments?
If you mean do I follow every law supposedly written on stone tablets by Moses, no, why would I? If you are a Christian, why wouldn't you follow what Jesus said at Matthew 7:12: “So in everything, do to others what you would have them do to you, for this sums up the Law and the Prophets."
If you mean do I believe it's wrong to kill my neighbor or steal, then yes, in that sense I follow some of the ten commandments, but those are universal laws, most religions and countries have rules about that kind of thing. Frankly, there is nothing special about the ten commandments and some of them aren't even practicle in this day and age. What if doctors or policemen kept the Sabbath and refused to work? Tough luck for you if you had a heart attack or your house gets robbed . Also, my neighbor doesn't have an ox or a donkey, so I don't worry about coveting it.
As for the ten commandments being eternal, well, eternity is a long time, check back in a few million years.