1.
since the movie would last two hours, after dropping off the kids, mother decided to go shopping.

sf (sentence fragment)
cx (complex)
cd (compound)
s (simple sentence)

2.
kelly read the plague as her summer novel.

sf
cx
s
cd

3.
lawmakers frustrated with all the delays.

sf
cx
s
cd

4.
we knew that we would lose the game and the opportunity of a state championship.

sf
cd
s
cx

Here are the answers to the given statements above:
1. The given sentence is an example of a complex sentence. This sentence includes an independent clause and dependent clause.
2. The given sentence is an example of a simple sentence. It only contains one independent clause.
3. This is an example of a fragment sentence, which misses the predicate.
4. This is an example of a simple sentence having a compound predicate. Hope this answer helps.

Ithink it is 2 direct object