normallydo homework here; but you seem to have thought about it and given your thoughts:
1. Yes "pull out" would work. "Back out" might be better though, for a reason which appears obvious to me.
2. DId you consider, "Draw up"
3. Lots of selection here. Choose one you like. But "draw up" is better for 2. because "draw up alongside something" is a common collocation.
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