Peter Coke starred in his first Paul Temple mystery, Paul Temple and the Gilbert Case, in 1954. FIve years later, the serial would be remade. Some actors remained the same - Peter Coke and Marjorie Westbury, of course. Inspector Kingston was played both times by Duncan McIntyre, Charlie by James Beattie.
But some actors were different. Richard Williams, who played the character Lance Reynolds in the 1954 version, has taken over the role of Sir Graham Forbes (by an actor named Lester Muddit!) and Simon Lack assumes the role of Lance Reynolds.
In the video below, I compare the first two scenes (one in ep 1, one in ep2) of Lance Reynolds, as played by the two actors.
I think it's kind of fun to compare the two performances.