The Delta Paris flight indeed departs from T5. Something to do with the flight actually being a seasonal replacement for the AF flight.
To the question. Very doable. Collect your bags and follow signs to the Airport Transit System (ATS) and take it to T5. Check your bags with Delta and then the GE office is landslide on the arrivals level.
Thank you! This is very helpful.
To other's questions- I already have my GE, my SO needs to do his interview. We are hoping for a walk-in slot during our layover for our flight out, but have an appointment following our return flight. Hoping the notes regarding Terminal 5 are correct- that will make our lives very easy!