[snip]
(annoying you cannot copy the text from the events view)
I don't know if I understood correctly your concern, but in my case if I go in Hosts --> Events
and double click on a line I have a pop-up window named "Event Details" where I can copy and paste "ID" "Time" and "Message" fields' values.
Not so friendly but it works
I don't know if from the Rest API you can also filter the kind of events to display, but at least you can do something like:
HIH,
Gianluca