There was a time when late-night shows accepted unsolicited jokes and packets. Those days are gone.
Be honest with yourself about your project's business model and commercial potential. Just as specific producers work on specific types of material, so do certain agents.
Judges of writing contests aren't charged with finding scripts to develop or produce. They're charged with JUDGING A CONTEST... and quite frankly, most scripts submitted to contests are downright unreadable.
Joke/sketch packets should ALWAYS be up-to-date with your best topical material… nothing feels more stale than jokes about last year's news.