Hello FletchTalon,
Thank you for stopping by the Microsoft Community. Sorry for the troubles with the charger. Rest assured we'll do our best to help.
I know you've probably already done these steps but for troubleshooting sake, we'll go ahead and have you try it out:
To confirm if it is a power adapter issue, you can try the following steps:
Step 1: Plug the power cord back in to the electrical outlet, and then reconnect the power supply to Surface. Make sure power connector is properly seated
Step 2: Check that the light on the connector is lit.
If the connection is secure and:
The light doesn’t light up
Your power supply may need to be replaced.
The light is lit
Your Surface is getting power. If the light is lit and your Surface is not charging, please read this troubleshooting article "Surface battery won’t charge" on our support site.
In the 2nd part of your post, you're asking:
"If I create a service order for my registered, under warranty Surface, will I be able to just send the power supply, or will it not be accepted?"
That is a great question that I believe our assisted agents can go in further details with you.
Please click hereto reach out to them.
We look forward to your reply.