A few questions & suggestions:
Do you know if your car has ever been modified in the radio department?
What type of audio system did your 2010 come with from the factory? Is it a base, BOSE, or NAV w/Bose setup?
What are the part numbers of the replacement radios you received? What's currently installed?
You can try running a diagnostic scan on the radio to see if it fixes/reveals anything:
1 - Ensure your car is parked and Turn the car ON (no need to start it).
2 - Then push the radio volume on/off button and ensure that the radio itself is OFF, in order to run a Self-Diagnosis.
3 - To do so: Press and hold the SETTING button on the control panel while turning the volume knob to the right anywhere from a 3 to 20 times. That will take you to the "System Diagnostic Menu".
4 - Go to "Self Diagnosis" and the system will scan you car’s components, and once complete it will show you what it found. You can see what the system "sees" as being connected as shown:
https://drive.google.com/file/d/1pRc-Km ... sp=sharing
5 - Go to both pages and note what, if any, components the system isn't detecting.
6 - You can then go Back, and go to "Confirmation Adjustment", and go to > Camera > Camera Syst Type, and choose the camera setup you have. Was the rear camera active?
8 - You can then go back to "Confirmation Adjustment", and go to "Speaker Test" to run a check. Does it reveal anything with the audio output?
9 - You can then go back to "Confirmation Adjustment", and go to "Error History".
See what kind of errors you currently have in the log. Take note of them all, ensuring you scroll all the way down.
For example:
https://drive.google.com/file/d/1xP2_Hi ... sp=sharing
10 - Once you've taken pictures or written them all down, you can clear the log.
11- Then BACK all the way out of the System Diagnostic Menu. The system will save the changes you made (if any) and reboot.
12 - Once the regular screen is up and running, check to see if you still have the issues you described. Assuming you do, repeat the applicable steps above to see the newly updated Error History.
Hopefully that helps.
Let me know the answers to the questions above and what you find in the diagnostic scan.