Soagard, White and Gasper are replaceable, but since their trade value is not high, keeping them is a good idea. I just wouldn't call them must keeps.
Sogard> 1B Romy, Casas, Mead, 2B Seigler, Monasterio, Cheng, Story/Arias, 3B Monasterio, Cheng, Eaton
Gasper> 1B Sogard, Romy, Casas, Mead, C Wong, Jo Garcia, DH Yoshida, Casas/Sogard-Jones/Romy
White> Jones is also out of options, Duran, Campbell, Eaton, Ward