I bought a Seafoam 2DS today to replace my broken XL. Does anyone know if I can transfer my download games to the new system?

Contact Nintendo, and have your serial numbers for both systems ready. They can immediately transfer licenses, but your saved data may be toast. (If I recall correctly, you bought New Leaf digitally...sadly, it would include that because the ID of the last save is stored on the 3DS itself, not the SD card.) They MIGHT be able to do something about that, but that would involve sending your system in for repairs and likely paying a fee.