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ἕλκω is thought to be from a root *selk-, which actually has a Latin derivative in sulcus "furrow" (Gk. ὅλκος). As far as I can see there's no regular way to derive laciō from *selk-. (BTW de Vaan argues that laqueus is unrelated to the family of laciō because of the qu.)
1
Diēs was originally an irregular member of the fourth declension: in Old Latin the nom. was diūs. But the irregular acc. diēm tended to generate a new nominative by analogy, and the noun was pulled into the emerging fifth declension while keeping its gender. These 12 or so nouns don't represent any identifiable group of PIE nouns, but slowly became more ...
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