Check your time zone under your account. If it is incorrect, set it, reset your Striiv source, and on the next sync it will be correct.
Sleep and extended Heart Rate is not yet available in the Striiv data set. We expect to have it later this year.
These are not available in the Striiv API.
With a Pro Account, you can do a Historic Sync by editing your Striiv task and selecting Historic Sync from the bottom.