AGS uses the "command line" method to launch emulators, so best practice is to get the game to launch via the command line first so that you can be sure you got the launch parameters correct.
After a quick google search, it looks like you're missing a launch parameter or two. I've never used ePSXe, so I'm not really sure what it needs - you'll have to figure this out yourself.
Quick note about the "params": whatever the command line text is, everything after the emulator executable should be placed in the "params", separated onto a new line for each parameter. Hence, if the command line reads:
>ePSXe.exe -loadbin twistedmetal.iso -nogui
Then your config file structures would look like this:
"target": "[[emulatorsPath]]\\ePSXe\\ePSXe.exe",
"params": [
"-loadbin",
"[[appConfig.filePath]]",
"-nogui"
],
Hope that helps!