As from your Question, You can broadcast stream successfully and you might have used Wowza Go Coder SDK for doing it.
On Broadcasting live stream, broadcasted videos stored in CONTENT directory which is inside of Stream Engine installation directory structure.
You can find all the streamed videos in it.
Now, You want to broadcast particular stored video then you can do it by loading specific URL for that video. Broadcasting for that Video is not possible but, you can play that particular video as below which will be accessible to all your application users :
In IOS, Link or URL for Videos stored in CONTENT directory is as below :
http://[Host Address]:[PORT]/vod/mp4:sample.mp4/playlist.m3u8
rtsp://[Host Address]:[PORT]/vod/sample.mp4 (In Android)
Here, sample is the name of your Stream. You have to broadcast live stream video with different stream names so that all videos are accessible.
In this way, you can play stored live stream videos.