Not sure about $ sign, but ^ probably comes from ADM-3A:
https://en.wikipedia.org/wiki/ADM-3A#Legacy
And here is a photo of its keyboard: https://twitter.com/toresbe/status/1756800589340549609/photo...
And here is a photo of its keyboard: https://twitter.com/toresbe/status/1756800589340549609/photo...