Adverbs can appear in various positions depending on what they modify. Sometimes they need to be adjacent to the word they modify (e.g. moved quickly/quickly moved).
Correctly is the adverb in that sentence.
That sentence does not have an adverb.
The adverb in the sentence is where.
Subject of the sentence Verb of the sentence Adverb of Manner Adverb of Place Adverb of Frequency Adverb of time Purpose
Correctly is the adverb in that sentence.
The adverb in your sentence is 'thereafter'.
The adverb of the sentence is quickly.
The adverb in this sentence is "late."
The adverb in that sentence is downstairs. It's an adverb of place and tells where you ran.
Often is the adverb in the sentence.
The adverb in this sentence is frequently.
Very is the adverb in that sentence.