1) Not at the same time, but it can achieve duplex communication via time division duplexing.
2) Should not be long, within a week perhaps to procure the EVB. On Cypress website: https://www.cypress.com/documentation/development-kitsboards/cybt-413034-eval-ez-bt-module-arduino-evaluation-board
3) Yes, this tool is called Manufacturing Bluetooth Test Tool (MBT). It can be found in WICED Studio
5) For Tx at 0dBm, BLE draws up to 11.2mA and BR draws up to 9.2mA. Refer to our module datasheet for more figures.
If you are planning an audio product, please refer to 20706 (for regular BT audio products) or 20721 (for wireless ear buds).