Yes, that would probably indicate a problem with the brake light switch. As for how to take that clip off, just stick a decent sized flat head screwdriver in the "U" end of the clip and turn it a bit to spread the "U" and then, while still keeping the screwdriver turned, slide the clip off. It may take a few tries, and is unnecessarily annoying, but it will come off. The images below decently illustrate what you are dealing with.
Also, here is a decent YouTube video on the subject:
https://www.youtube.com/watch?v=iv2D_nm8Jck
And another one:
https://www.youtube.com/watch?v=K8k5gSXAlJc
Please let us know how it goes for you.
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Tuesday, December 11th, 2018 AT 12:19 PM