Do I need to press the switch again after unplugging this OPEN neon sign?

I’m looking at this OPEN LED neon sign:

OPEN LED Neon Sign – Rectangular | 4 Glow Color Options | 16×9 / 23×12 inch | Window Hanging | Plug & Play for Storefronts

If I unplug it while it’s on, will it turn back on automatically?

Is this OPEN LED neon sign easy to install?
Does it come with a hanging chain, or do I need to buy mounting parts separately?

I’m considering using an OPEN LED neon sign for my café window.
Do these signs actually attract customers or are they mostly decorative?