If it were me, I'd probably go with the Pro. They really aren't THAT heavy, especially if you get a backpack or something to carry it with.
Now if your meetings happen to take place at various airports, all over the country and/or world, and every ounce counts, then the Air might be the better choice. But if we're talking about just within a single building, or a relatively fixed location like a single city, then I would seriously doubt the added bulk of the Pro would be that burdensome.
The Air would certainly be able to do what you want, but it generally has a much lower end CPU, the RAM is soldered directly to the MLB so you can't upgrade it, and while technically you can upgrade the SSD in the Air, Apple doesn't really make it easy for you to do so. The Pro takes pretty standard DDR3 SO-DIMMs, the HDD/SSD is a standard 2.5" config, and both can be easily accessed by removing about 10 PH00 screws from the bottom case. PH00 screwdrivers are infinitely easier to find than the special pentalobe Apple uses on the Air's bottom case, and then a Torx T5 bit for getting the SSD out is also a bit uncommon (though not overly difficult to find).
I am a journalist and need a computer I can easily tote around to meetings. For that reason the Air is appealing. I also do light video and photo editing; therefore, I am drawn to the power of the Pro and I would probably replace the hard drive with an SSD. I am torn! Can the Air handle light video editing (2-10 min videos)? Do you really notice the 1.5 lb difference in weight between the two computers (13.3" inch screens)? Also, if I get the Air, is there a noticeable difference between i5 and i7 Intel Core?

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