Based on the statements provided and the context of a student's journey as shown in a graph of distance from home over time, the best choices would likely be:
- The student left and came back home twice on this journey.
- The student rested 3 times during his journey.
These choices suggest that the graph reflects fluctuations in distance, indicating that the student returned home at least twice and also took breaks during their journey. The other options either imply a consistent movement away from home or a lack of return, which would not align with the statement regarding the journey being represented on the graph.