Correct statements regarding halides of group 14 elements:
I. Stability of dihalides: SiX$_2$ > GeX$_2$ > SnX$_2$ > PbX$_2$
II. SnF$_4$, PbF$_4$ are ionic
III. PbI$_4$ does not exist
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Down the group, the inert pair effect stabilizes lower oxidation states; fluorides of Sn and Pb are ionic due to F's high electronegativity.
The inert pair effect makes Pb(IV) less stable, so PbI$_4$ does not exist. Fluorides of Sn and Pb are ionic due to the high electronegativity of F. The trend in statement I does not correctly reflect the effect of inert pair.