You are currently suspended from Microsoft Rewards, but not suspended from Xbox Rewards?
It will be interesting to see what happens.
My bet would be your Microsoft Rewards will still be suspended even after the Xbox Rewards migration, but hopefully I'm wrong.
To be safe, you may want to follow the opt-out instructions at
https://rewards.xbox.com/en-US/optout/ so you don't lose any unused Xbox Rewards in June.
Let us know what does actually happen to your Microsoft Rewards suspension after June 15th.