Good, progress. First, make certain that the wires on the cradle are not joined or paired in any way. Should be 4 separate solder pads and 4 or more connectors on the cradle.
Now, search that frame! Charging port, or rocker switch? Possibly both. Should be close to battery mount on frame.
There is a third possibility of powered lighting, either from the factory or user-installed.
None of the half-dozen or so wiring diagrams I looked at show this, but these were similar but non-identical Currie models prior to 2013, or 2017 and later. 2014-2016 appears to be an informational black hole. That is the period when the company restructured, or changed ownership. Possibly twice. Your model, the Currie Izip E3 Dash, was introduced in 2015 or possibly 2014. It is dramatically changed in 2017 and now bears little to no resemblance to what you have.
There are good odds the wires are for an on-board charger, which you can simply cut off and stuff back into the frame. They can be safely ignored.
The on/off switch is a bit more complex to deal with, strategies will vary depending on whether or not the new battery has a built-in power switch. If you find a rocker switch and no charger port on the frame, the above will become a question I need an answer for.