1. picked (matches tense, it happened in the past)
2. quick (3 and 4 don't make sense, I'd pick quick since it's talking about how short of a time he finished it in)
3. whom (1, 2, 3 both do not make sense as 'this I', 'she I', and 'her I' does not make sense)
4. is served (future tense)
5. who
6. careful (other choices do not make sense)
7. healthy