When sending to private address there will be trace of public address as sender, but no address where transaction went. You do not enter private key to search your transactions, as you can use txid. Also you can see transaction inside your wallet.
☆T (Public) ⇦ OUT Yes ▷ AMOUNT 21.1.2018 18:06:10 ▶ (Z Address not listed by wallet!)
★Z (Private) ⇨ IN Yes ▷ AMOUNT 21.1.2018 18:06:10 your Z address here
Here you can see example of transfer from public to private address. There is no trace of receiving address.
http://explorer.zclmine.pro/tx/b361c542a6a32729a8bd4fc71c761947939105bf1be38e640ffcd51bc3c346d3
That is actually amazing thanks for your reply . I will start point some of my rigs to mine this coin . I am happy that the mainnet is already live , time to start mining . . Amazing how there is more and more coins GPU friendly every day .