Font diacritics bad on mobile

Hey, I'm using some Google Fonts that have diacritics on PC, they look just fine, but on mobile they either not show ( browser ) or show but with different font characters ( chrome ).

Should I bother downloading the fonts and using @font-face to add them to the site hosing, and maybe even edit them with a font-editor and add diacritics ? I heard it's pretty hard to modify fonts.

Or is it just a mobile problem ?

I'm using Ranga and Kauschan Script fonts, and it seems like the only ones I would be able to use are Arial and Verdana, although the ț looks a little different on Verdana and Arial too.