Well, style and color aside, the womens bindings have shorter highbacks to better suit a woman's higher calf. They are also, on average, a little less stiff

A size 7 boot merits a M/L women's binding.
And this binding will be super sick on that Space Metal Fantasy.

Hey Tom!
With that size of boot, go with the L/XL bindings.

Burton boots are generally true-to-fit. I wear a size 9 street shoe, and my size 9 Burtons fit perfectly, though I strongly recommend finding a local snowboard shop and trying some on first.

Nope! The boa system works great, it laces up fast and easy. However, if you like your toes a little tighter than your shins you're outta luck, no real customization on how tight things are.

Though this board will not be ideal for carving, it will slay any rail you come across.
The rocker on this board is designed to allow easier buttering and presses on boxes, which is pretty much the opposite of carving lol =P
If you're a beginner looking to progress I would look at maybe the K2 Slayblade or the Believer, which both repping the "flatline" technology which gives the board ZERO camber, making it a mellow board for any situation be it carving to sending it at the park.

That's a fairly average size, I would say that the normal width should be perfect.

I would try as hard as possible to try the size on before you buy it. A lot of times people will make the mistake of buying shoes online that don't fit properly. The fact is, you should buy a size 13 or even a 12.5 since after a few days of shredding the boot liner will pack out about a half size.

I would try and go a different route. Although these gloves will stop the wind, buying a shell would definitely ensure that your hands remain dry and your gloves will never get torn up. Though I suppose on those warm spring days a light glove would be just fine.

If you're even a half decent skier, bumping up an inch in ski length will not be difficult at all. But for a powder ski that will tear up groomers, the Mantras should be fine. I'm 5'7 and weigh 135 and I have a pair of BD Kilowatts and the two skis are fairly similar and I've had no problem on mine and I was skiing a pair of 150 volkl g4's.

I always try and go with a half size smaller at least since in a few hours the boot will be broken in and loosen up. Usually I make sure that my toes are touching the end of boot I'm going to buy. Switching to a smaller size will definitely help you out.

The Fireblades are very minimalistic; it's almost as if you're running barefoot. There won't be quite as much cushion, but they will have plenty of room in the toebox to accommodate wider feet. The shoe seems to do well in most situations, although in certain wet grassy spots they seemed to loose a bit of grip.

For touring I would definitely go with the 90 cm width. Weight is an issue and these skis are already on the chubby side of things. Although 100 cm waists will certainly float better, an extra couple pounds for miles adds up pretty quick. I myself have a pair of BD Kilowatts with Marker Baron bindings which runs around 10 pounds

Each of those boards have their own advantages/disadvantages depending on your skill level.
If you're an experienced rider,
I would definitely have to say the Deuce is going to be the better choice. It doesn't have "Cruise Control" so you're not going to be sliding everywhere on the mountain, but rather maintain your edge and tear the mountain up. It also has a twin shape so you will be able to huck switch.

If you're a beginner,
The Blunt would be the better of the 3. The Cruise Control makes the snowboard concave, giving you a much more forgiving buttery feel to the board. It's also rated as a 3 out of 10 flex so it'll be stiff enough for high speed cruising.

I would say that yes, this board would be too soft for you. Burton rates this as a 2 out of 10 I believe, and for a person of your height and weight it would probably be a very soft ride. I would maybe suggest the Arbor Draft. It's a rockered board using "grip tech" to give you that edge bite you need in a reverse camber snowboard.
I would also suggest getting at the minimum a 160. The reverse camber will make the board ride shorter on hardpack but longer in pow.

For the Milan bindings you should definitely look for at least a medium sized binding. (size 6.5-9.5)

Yes! The Burton Custom is great for any intermediate to advancing all-mountain rider. It has a medium flex which is perfect for ripping down groomers and moon-gravity pop that just won't stop.

In short, no. These jib specific boards have a reduced nose and tail as well as a true twin shape, giving the board a lot of drag in powder.
However, this board will slay any rail you come across and give you some duper pop in the park.
Hope this helps.