This call was perplexing until I came across a similar one identified as a VA Rail at Call Notes and Flight Calls. It seems to be a pretty good match for last part of "kicker" call. Spectrogram looks similar to Red-headed Woodpecker nocturnal call but sound does not match well. 

Barely audible example of Virginia Rail's "gidik gidik" call. Might have to get your headphones out to hear it better.