Is the new Russian course for English speaking people completely made in latin script?
You can switch to Cyrillic with a little blue button that appears before starting a lesson. :)
No. There is a button next to the progress bar that you can press to get the Cyrillic script.
Easily fixed: When you are in a lesson, look to the upper left. If the Russian is in the Latin alphabet, you will see a small "Aa". Click on it and it will change to "Яя" and you'll be back to Cyrillic.