Is it to late to move to new soil or you think it will it will contaminate new soil?? Never had this happen!! Too much water?? And, I keep the clear cups covered by a styrofoam cup so light doesn’t get to roots!! Thanks!!
Twisty leaves & no holes in the side of that cup suggest that you've got over watered seedlings. Once it dries out that will go away. In the meantime, you may want to move 'em to something with more drainage.