A:AnswerYes - if the projector you're using sends Bluetooth signals, or has an Audio Out port (e.g. a headphone port). For example, you could run one end of a 1/8" cable into the headphone port on your projector, and the other end of the cable into the headphone-sized port on the Bose S1 Pro+, next to the AUX port.
A:AnswerNo - the Bluetooth function on the S1 Pro+ system is designed to receive signals from mobile devices, tablets, or any other device that broadcasts a Bluetooth signal. In this sense, a wireless headset does not broadcast Bluetooth signals, it receives them - therefore a wireless headset cannot be connected to the Bluetooth in the S1 Pro+ system.
A:AnswerYou can pair two Transmitters, or one Transmitter and connect one XLR connection, or connect 2 XLR connections are the same time.
You can't pair a transmitter to input 1 or input 2 while there is an XLR connection present.