Whenever I try to transform any edges, all of the surrounding edges will raise up even if they are not connected.
Does anyone know why this happens and/or know how to turn it off?
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Looks like you've got
Proportional Editing turned on - you might have accidentally activated it with the hotkey O, or by clicking the small blue circle button just above the timeline, a little to the right of center. You can turn it off by pressing O or clicking the button again. That should restore the behavior you're used to.
That being said, proportional editing can be a really useful tool, so if you're not familiar with it, I'd definitely recommend reading up on it!