12a is a bit weedy, get the same one from PSWpower with 17a output.One more thing, would you mind looking at the link below to see if this is the same, just in case I cannot join topbikekit.com. The displays look the same but not sure if controller will do.
24V/36V 250W 6Mosfets 12A Brushless DC Sine Wave Controller | eBay
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The 17a one should have a speed sensor wire mine has , if not it is still very easy to wire one in 7 it supports lighting no problem.
You need controller and display.
Your PAS will wire in ok and throttle 3 wire will wire in ok. Lights should be able to wire them in.
36V/48V 350W 6Mosfets 17A Brushless DC Sine Wave Controller | eBay
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www.ebay.co.uk