programming a click track

Are you putting the time signature/tempo markers in the timeline in reaper? If you are then the Reaper click track should follow. The drum midi won't have click track information in it.

changing tempo 

Ok. Now suppose you have a constant tempo and 60 time signature changes in the song. Is there a way to change the tempo without having to update all the tempo markers individually ?

Thank you ! So obvious I couldn't find it ! Another thing: is there only a graphical editor for tempo / signature ? isn't there a list editor ? Another question: the tempo is labeled BPM. This should mean that - if the signature is 4/4, then 120BPM = 120 quarter notes per minute - if the signature is 6/8, then 120BPM = 120 eighths notes per minute, OR 120 DOTTED quarter notes per minutes, i.e. 360 eighths notes per minute BUT it seems to me that whatever the time signature, BPM in Reaper represents 2 eighth notes. Which I find very strange. Am I wrong ?