I assume you mean a June 15 draft, so starting a few days after that.
The All-Star Game has to be attached to the regular season and cannot be after the playoffs. As just mentioned in another thread I cannot say the behavior of the game in some situations with the ASG set at the end of the regular season.
Year-to-year rotation of opponents is done by the game with a method I do not know. So interdivision opponents will be mixed up and are likely to be mostly different from one year to the next. That works on the division games too though, so the same opponent for the last series each year cannot be prescribed.
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