The sentence 'I can't believe it!' is exclamatory. An exclamatory sentence typically if not always ends in an exclamation mark and expresses strong emotion (disbelief, in this case). An exclamatory sentence differs from a declarative sentence in that it serves the purpose of conveying the speaker's feelings, rather than stating a fact or opinion. An imperative sentence is a command, while an interrogative sentence is a question, ending in a question mark.
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Because with her house burned down she recognizes that her traesure and hope do not lie in the world but in God.
I think it is a compound sentence or statement.