Sole physical means you are in charge of the day to day care of the child, however for child support purposes the amount of parenting time you each have is important. Joint legal custody means you both work together to make major medical, educational, and religious decisions for the child.
Parenting time being supervised is something you can argue during the divorce.
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Also, you might want to strongly consider not giving him joint legal custody if there is physical abuse because you'll be stuck with having to consult with him on all major decisions, such as healthcare decisions, educational decisions and religious decisions concerning your child.