Was there precedent for John to link the satan and the serpent?

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In Revelation 20:2, John links the satan and the serpent:

He seized the dragon, that ancient serpent, who is the devil, or Satan, and bound him for a thousand years.

A couple preliminary questions: Is the reference to "that ancient serpent" an allusion to the snake of Genesis 3? And is the "Satan" an allusion the satan of Job/Zechariah/Chronicles?

Then, assuming the answer to those two questions is yes, was John the first to link these two figures together? Or had the two already been connected in Jewish thought at the time? If not, is there any way to explain how the two became linked in John’s mind?