It looks like your first mod had a block that was floating outside of a function. We fixed the text to say 'Hello, World!'. The badge should unlock now there aren't any floating blocks and now that the text matches the badge instructions exactly - please let me know if it doesn't. Then, you should be able to text in the simulator. Don't forget to double click the screen before pressing m.
On the 2nd badge, make sure to press the load prompt button, then answer the quiz question (scroll down). Then you can test in the simulator and in minecraft. The other mods on your account looked blank, so maybe they didn't save right?
After pressing any load prompt buttons you see then double clicking the screen and pressing the letter m, are you able to run mods in the simulator? If not, which badges?