First of all (πρωτον παντων). Take with παρακαλω. My first request (first in importance).

Intercessions (εντευξεις). Late word (Polybius, Plutarch, etc.), only here in N.T. and 1 Timothy 4:5, though the verb εντυγχανω in Romans 8:27; Romans 8:34; Romans 11:2; Romans 11:25. The other three words for prayer are common (Philippians 4:6).

For all men (υπερ παντων ανθρωπων). The scope of prayer is universal including all kinds of sinners (and saints).