I'm no expert at diagnosing errors, but it seems like Stencyl couldn't find the files necessary to compile the game. That may mean they don't exist, or maybe they are in a system folder not accessible to non-administrators. You may want to try running Stencyl as an administrator, and if that doesn't work, reinstalling the program.
For the Stencyl experts, here's the error that was thrown each time the game was tested:
2015-05-28 20:28:52,876 INFO [AWT-EventQueue-0] stencyl.sw.io.write.resource.HXWriter: Running HXWriter with arguments: FLASH
2015-05-28 20:28:52,876 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Running command: [taskkill, /im, neko.exe, /f]
2015-05-28 20:28:52,931 DEBUG [Thread-19] stencyl.sw.util.StreamGobbler: [taskkill] ERROR: The process "neko.exe" not found.
2015-05-28 20:28:52,933 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Process 'taskkill' exited with code: 128
2015-05-28 20:28:52,933 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Running command: [taskkill, /im, adb.exe, /f]
2015-05-28 20:28:52,981 DEBUG [Thread-20] stencyl.sw.util.StreamGobbler: [taskkill] ERROR: The process "adb.exe" not found.
2015-05-28 20:28:52,983 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Process 'taskkill' exited with code: 128
2015-05-28 20:28:52,983 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Running command: [taskkill, /im, arm-linux-androideabi-g++.exe, /f]
2015-05-28 20:28:53,031 DEBUG [Thread-21] stencyl.sw.util.StreamGobbler: [taskkill] ERROR: The process "arm-linux-androideabi-g++.exe" not found.
2015-05-28 20:28:53,034 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Process 'taskkill' exited with code: 128
2015-05-28 20:28:53,034 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Running command: [taskkill, /im, cc1plus.exe, /f]
2015-05-28 20:28:53,084 DEBUG [Thread-22] stencyl.sw.util.StreamGobbler: [taskkill] ERROR: The process "cc1plus.exe" not found.
2015-05-28 20:28:53,087 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Process 'taskkill' exited with code: 128
2015-05-28 20:28:53,087 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Running command: [taskkill, /im, tail.exe, /f]
2015-05-28 20:28:53,137 DEBUG [Thread-23] stencyl.sw.util.StreamGobbler: [taskkill] ERROR: The process "tail.exe" not found.
2015-05-28 20:28:53,139 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Process 'taskkill' exited with code: 128
2015-05-28 20:28:53,139 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Running command: [taskkill, /im, ios-sim.exe, /f]
2015-05-28 20:28:53,189 DEBUG [Thread-24] stencyl.sw.util.StreamGobbler: [taskkill] ERROR: The process "ios-sim.exe" not found.
2015-05-28 20:28:53,192 DEBUG [AWT-EventQueue-0] stencyl.sw.util.Util: Process 'taskkill' exited with code: 128
2015-05-28 20:28:53,192 DEBUG [AWT-EventQueue-0] stencyl.sw.util.FileHelper: Deleting: C:\Users\Jack420\AppData\Roaming\Macromedia\Flash Player\Logs\flashlog.txt
2015-05-28 20:28:53,192 ERROR [AWT-EventQueue-0] stencyl.sw.util.FileHelper: Failed to delete file or directory: C:\Users\Jack420\AppData\Roaming\Macromedia\Flash Player\Logs\flashlog.txt
2015-05-28 20:28:53,194 DEBUG [pool-1-thread-4] stencyl.sw.util.FileHelper: Deleting: C:\Users\Jack420\AppData\Roaming\Stencyl\stencylworks\games-generated\22 3 game\Assets\graphics
2015-05-28 20:28:53,198 DEBUG [pool-1-thread-4] stencyl.sw.util.FileHelper: Trying to delete file that does not exist: C:\Users\Jack420\AppData\Roaming\Stencyl\stencylworks\games-generated\22 3 game\Export\iPhone\build
2015-05-28 20:28:53,198 DEBUG [pool-1-thread-4] stencyl.sw.util.FileHelper: Trying to delete file that does not exist: C:\Users\Jack420\AppData\Roaming\Stencyl\stencylworks\games-generated\22 3 game\Export\cpp\windows\bin
2015-05-28 20:28:53,205 DEBUG [pool-1-thread-4] stencyl.sw.io.write.resource.HXWriter: Copying graphics for scale: 1x
2015-05-28 20:28:53,207 DEBUG [pool-1-thread-4] stencyl.sw.io.write.resource.HXWriter: Copying graphics for scale: 1.5x
2015-05-28 20:28:53,208 DEBUG [pool-1-thread-4] stencyl.sw.io.write.resource.HXWriter: Copying graphics for scale: 2x
2015-05-28 20:28:53,210 DEBUG [pool-1-thread-4] stencyl.sw.io.write.resource.HXWriter: Copying graphics for scale: 4x
2015-05-28 20:28:53,212 DEBUG [pool-1-thread-4] stencyl.sw.util.FileHelper: Trying to delete file that does not exist: C:\Users\Jack420\AppData\Roaming\Stencyl\stencylworks\games-generated\22 3 game\Assets\graphics\3x
2015-05-28 20:28:53,217 DEBUG [pool-1-thread-4] stencyl.sw.util.FileHelper: Saving backup file C:\Users\Jack420\AppData\Roaming\Stencyl\stencylworks\games\22 3 game\game.xml.bak.
2015-05-28 20:28:53,320 DEBUG [pool-1-thread-2] stencyl.sw.app.filewatcher.Tail: Closed tail.
2015-05-28 20:28:54,646 DEBUG [pool-11-thread-1] stencyl.sw.io.write.resource.SnippetsWriter: Writing Design Snippet to C:\Users\Jack420\AppData\Roaming\Stencyl\stencylworks\preview\scripts\SceneEvents_0.hx. Took 1 ms.
2015-05-28 20:28:54,650 ERROR [pool-1-thread-4] stencyl.sw.io.write.resource.HXWriter: D:\.hxcpp_config.xml (Access is denied)
java.io.FileNotFoundException: D:\.hxcpp_config.xml (Access is denied)
at java.io.FileOutputStream.open(Native Method)
at java.io.FileOutputStream.<init>(Unknown Source)
at org.apache.commons.io.FileUtils.openOutputStream(FileUtils.java:367)
at org.apache.commons.io.FileUtils.writeStringToFile(FileUtils.java:1928)
at org.apache.commons.io.FileUtils.writeStringToFile(FileUtils.java:1895)
at stencyl.sw.util.FileHelper.writeStringToFile(FileHelper.java:126)
at stencyl.sw.util.FileHelper.writeStringToFile(FileHelper.java:131)
at stencyl.sw.io.write.resource.HXWriter.write(HXWriter.java:1770)
at stencyl.sw.io.write.resource.HXWriter.access$200(HXWriter.java:74)
at stencyl.sw.io.write.resource.HXWriter$2.doInBackground(HXWriter.java:285)
at stencyl.sw.io.write.resource.HXWriter$2.doInBackground(HXWriter.java:277)
at javax.swing.SwingWorker$1.call(Unknown Source)
at java.util.concurrent.FutureTask$Sync.innerRun(Unknown Source)
at java.util.concurrent.FutureTask.run(Unknown Source)
at javax.swing.SwingWorker.run(Unknown Source)
at java.util.concurrent.ThreadPoolExecutor$Worker.runTask(Unknown Source)
at java.util.concurrent.ThreadPoolExecutor$Worker.run(Unknown Source)
at java.lang.Thread.run(Unknown Source)
