Newcastle is at the top of their game, and I have no doubt that they will finish in the top four. Manchester United, Tottenham, and Liverpool will compete for the final four spots, and if Newcastle keeps up this pace, they will take third place.
Regardless of your belief in Newcastle who will finish in third or fourth place, I am more inclined to see the possibility of Man United finishing third, based on analysis of the remaining matches and facing a stronger club. It is possible that Eriksen and Casimero will be able to play in the next few matches, so that the strength of Man United's midfield has improved, although it is not yet clear to Eriksen when he will return to strengthen Man United after undergoing injury recovery.
For Liverpool it seems difficult to reach the top four or five positions in the standings and it is very unlikely to finish there. Tottenham still has a great chance of finishing in the top five or four, because the point difference is currently not far from Man United and Newcastle, even though Tottenham has one game more than them.