Under the rules of the competition, the game must be previously unpublished, so I'm pretty sure that would rule it out.
For testing, you can ask at https://intfiction.org/c/playing/beta-testing/24
For the game with cartoon images, that would be okay to enter in next year's competition, providing the primary input is via commands entered on the keyboard. Clickable images should be considered an option. You must be able to play the game without needing to click on images. The fact that it only runs on a DOSBox emulator doesn't matter, but it will restrict your audience. Windows executables tend to rate very poorly in IFComp and I imagine the same will prove to be true in ParserComp. Have you considered Adventuron? That encourages graphics and runs in a browser, so it is multi-platform.
This is just my impression. Adam has the final say.