(CNN) -- After a seven-week lull following the botched execution of an Oklahoma man, executions resumed in the United States this week with three men put to death over 24 hours -- one in Missouri, one in Georgia and one in Florida. Three more are scheduled to die by lethal injection in the next five weeks, and more than 3,000 men and women await execution in the 32 states where it's currently legal and in three others where it's no longer used for new crimes but still on the books for existing convictions. But major legal and technical considerations will continue to surround the issue for the foreseeable future. Here's an update on the most important issues:
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Questions raised by botched Oklahoma lethal injection remain unanswered
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Seven weeks after that death, Oklahoma is still investigating what happened, officials say
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A big issue involves the drugs used in executions, and where states are getting them
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Policy shift "could be just one more problematic execution away," expert says
Many polls show declining support among @placeholder for the death penalty.