Answer:
His luck is close to running out
Explanation: If his luck is once more on fates razor edge, it means he should be careful because it will end, or stop working.
Chronological order, it is a step by step process
Participles have two forms - they either look like verbs + ing, or like past form of a verb (adding -ed to regular verbs, or third column of irregular verbs). They often function as either adjectives or adverbs in a sentence. So, having that in mind, the only participle in this sentence is the word excited, and it modifies the noun friend.
The friend was excited, which is why the latter word modifies the former.
The answer would be Tertiary