pairing to car

I would like to pair my MP3 player to my car. I know my car supports the A2DP.

Question is can I have my phone and the MP3 player to my car and not have issues with the car being connected to both at the same time?

I have a 2011 Kia Sportage if that helps.

the Clip Sport Plus will only work with cars that have BT 5.4.2 Just Works. If you have to enter a code for BT connectivity it will not work. 

If the stereo can be connected to more than one device without issues is more of a question for the stereo manufacturer then the CSP. Not sure how it would react to having multiple connections.