Can a wallet/exchange provider ask for transaction details

My question has two parts,

  1. Am I obligated to share transaction details with my wallet/exchange provider for any payment I made to an individual, like subscription to a website?
  2. Irrespective of the above point, If I pay for a subscription using Bitcoins to someone, and the recieving party misuse the coins for something illegal unknown to me, will I be in problem?

Thanks

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