Weight Weenies

Do I actually need a new baseplate when installing a new fork on my bike? Assuming the original baseplate is being removed from original fork probably and there is no plan to re-use the old fork. The HS is Chris King 1 1/8 and the baseplate is in stainless stee.

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By "Baseplate" do you mean Crown Race?

Yes. CK call its crown race=baseplate

The crown race (what you're calling the baseplate) is actually matched with the headset, not the fork. It should follow the headset, and if the fork is re-used, the headset that is installed should have its own crown race. However, I believe that crown races are functionally equivalent if they're from the same type of headset - for example, one IS41's (aka cane creek type) bearing angles are the same as another, therefore the crown race should have exactly the same angled contact surface.

Maybe I should rephrase my question:

I'm putting in a new fork. Is there any reason that I should not recycle the existing crown race?

I've never had a problem reusing a baseplate/crown race. As long as it isn't damaged, go ahead and reuse it. The CK baseplate is particularly solid, so I wouldn't worry about it all.

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While you're at it, and since this is WW, get the Ti "baseplate" from Chris King.
It's lighter, and therefore righter.