Your answers were:
1. The wall(Subject) collapsed(Verb)

A. Subject -- Verb
B. Subject -- Verb -- Direct Object
C. Subject -- Verb -- Indirect Object -- Direct Object
D. (Adjunct) -- Subject -- Verb -- Direct Object
E. (Adjunct) -- Subject -- Verb -- (Adjunct)
Answer:A. Subject -- Verb

2. During the war(Adjunct), many people(Subject) lost(Verb) their homes(Direct Object)

A. Subject -- Verb
B. Subject -- Verb -- Direct Object
C. Subject -- Verb -- Indirect Object -- Direct Object
D. (Adjunct) -- Subject -- Verb -- Direct Object
E. (Adjunct) -- Subject -- Verb -- (Adjunct)
Answer:D. (Adjunct) -- Subject -- Verb -- Direct Object

3. I(Subject) promised(Verb) the children(Indirect Object) a trip to the zoo(Direct Object)

A. Subject -- Verb
B. Subject -- Verb -- Direct Object
C. Subject -- Verb -- Indirect Object -- Direct Object
D. (Adjunct) -- Subject -- Verb -- Direct Object
E. (Adjunct) -- Subject -- Verb -- (Adjunct)
Answer:C. Subject -- Verb -- Indirect Object -- Direct Object

4. When he was 12(Adjunct), David(Subject) moved(Verb) to London(Adjunct)

A. Subject -- Verb
B. Subject -- Verb -- Direct Object
C. Subject -- Verb -- Indirect Object -- Direct Object
D. (Adjunct) -- Subject -- Verb -- Direct Object
E. (Adjunct) -- Subject -- Verb -- (Adjunct)
Answer:E. (Adjunct) -- Subject -- Verb -- (Adjunct)

5. Paul(Subject) hired(Verb) a bicycle(Direct Object)

A. Subject -- Verb
B. Subject -- Verb -- Direct Object
C. Subject -- Verb -- Indirect Object -- Direct Object
D. (Adjunct) -- Subject -- Verb -- Direct Object
E. (Adjunct) -- Subject -- Verb -- (Adjunct)
Answer:B. Subject -- Verb -- Direct Object