Should? I'm not sure (no computer expert here). I personally have two on mine, but then I've had desktop computers fried several times, so I'm extra careful.
Mine is plugged into the power adapter all the time. So I should have one. Dont. But should. If lightening hit it would definately hit my computer through the outlet it's plugged into.
I have one and I use it, but when my kids use it, they ALWAYS "forget" to use it. So far no problems, but if it blows one day, I'll blame it on them! $1700 is hard to throw away when a surge protector costs so little.
Mine is always plugged into a power strip with a surge suppressor .. but that's because I need the extra cord length anyway (under the sofa, or at my desk upstairs) and so it's just as easy to buy a strip with the protection as not.
Yes, should have a surge protector. They make a small one that is a single outlet specifically for traveling with laptop - I think mine is a Belkin. It plugs into the outlet, then the laptop plugs directly into it. Mine doesn't even block the second receptacle on the outlet. I think it cost $25 or so, a little more expensive than some because it is a specialty item.
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Yes, unless you have enough extra cash that replacing your laptop is not an issue - get a surge protector. Even a "brown out" where the lights flicker - can cause a power surge that will fry equipment - you don't have to take a direct lightning hit.
As other posters have said - $25 is pretty cheap for an insurance bet.