Can a microwave oven damage a laptop if they are next to each other and both switched on, and could they damage the wirelees equipment inside?

Microwave ovens are designed to leak very very little, even when damaged. You get more microwave emission from your mobile phone than from your microwave oven.

Ad for the other way around, I haven't ever heard of any electronics being damaged by wireless communications from a laptop, and this is the only issue that I can think of that there might be.

I think you're okay.