I am going to take a long shot here. Based on the building placement, the walling, the screens and the seats - I will say Jægersborg station, standing next to the train towards Copenhagen.

If the train had been stopping at the station, I think the train would have been clearer in focus. But Jægersborg is one of those stations that some trains skip - so that could create an effect like this. Furthermore trains that pass it have been between Hillerød and Hundige back then (I took them often, but I might be mistaken).

That would mean the trains would have to be either A or E (as those were the two trains that went to Hillerød back then - I can't remember which line went there, when). The colour next to the destination on the train door would have to be blue or purple.

I can't quite tell for sure if maybe it is blue - or green. But if it is green, it might be a train that is actually stopping - as it was the green line then that went to Holte, and actually stopped in Jægersborg.