AM625SIP: Does AM625SIP support Android auto/Car play?

You can refer here 

https://software-dl.ti.com/processor-sdk-android/esd/AM62X/09_02_00/docs/devices/AM62X/android/Release_Specific_Release_Notes.html 

On Android version/flavor/features supported. 

As you can see in the release note, AM625SIP is not mentioned.

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On "are there any recommended SOCs" >> Depends on your end product application and usecase/capabilities need. 

The other platform to consider is AM62P ( It has higher performing GPU and contains Video Accelerators)

software-dl.ti.com/.../Release_Specific_Release_Notes.html