Retirement tax questions

There is no such thing as a "private Roth 401(k)".   401(K) plans are employer plans, not private plans.    It sounds like you opened an IRA with a bank or financial institution which would not be a 401(k) plan, but simply a Roth IRA.  

What code is in box 7 on the 1099-R that you received?
**Disclaimer: This post is for discussion purposes only and is NOT tax advice. The author takes no responsibility for the accuracy of any information in this post.**