Regarding Autohint

Dear Glyphs: I am about to Autohint a font, and am a little bit in doubt about various options … Please see attached. Certain letters jump a little, but maybe that’s normal with autohintning?

No, Autohinting should fix those misalignments. It should look better. So that is a CFF based font?
Have you check that those glyphs have correct path directions and no PS hints?