Some of the things I wonder about in Romans 6

What does sin look like when we're no longer under the law? (verse 1)

When did we die to sin? (v.2) If I did, why do I still sin?  What does it mean and what good is it?

When were we immersed into Christ Jesus? (3)  Is this talking about water baptism or Spirit baptism or something else?

What is "the likeness of His death"? (NAS, v.5) Baptism? Our daily experience? Something else?

What in the world is "our body of sin"? (NAS, v. 6)

Is it only our "old man" that has somehow died (v. 6)?  Or the totality of our personality (v. 7)? And what exactly is our "old man," anyway?

What does it mean to consider myself to be dead to sin in light of the fact that I still sin? (11)  What is the difference, if any, between this considering and, say, Christian Scientists' tendency (which seems to me to be very unhealthy) to ignore reality in favor of something Mrs. Eddy says which is manifestly not so?

Does Paul mean something different by "sin" here than he did by "sins" earlier on? If so, what?(e.g. v. 12)

How is being freed from the law related to being out from under sin? (14)

Paul seems to me, back in 3.21-5.11, to have built a two-part argument regarding the answer of the Good News to our sins:  3.21-4.25 talks primarily about how God dealt with them as far as His consideration of them goes, and 5.1-11 talks about how we receive this result in our experience.  Is he doing the same thing again in this section?  That is, talking about God's "reckoning" (to use Paul's favorite word from chapter 4) and then about our experience?  (And, if so, is chapter six talking about God's perception or our experience?)