I just noticed that in addition to the only 2 weapons, that your total amount of gear can't exceed your discipline. For the purposes of counting gear does:
1) A barded mount count as 1 piece of gear (since the horse has the option to get armor) or 2 (since the model is taking two independent options)
2) A wagon or chariot include its mounts and/or barding or does each piece count as a separately as gear? (If so, since this isn't military gear can you count different pieces against different squad members?)
Horse with barding is just 1.
As for the others like military weapons and other shared equipment like a wagon, the wagon counts as 1 against the pool of the squad with it. It does not count as 1 for every person in the squad.
Mounts for the wagon should just be included in the wagon. They are just options for the wagon.
The intention is to be more flexible and not so restrictive. I think this will need to be a FAQ question to be clear of the intention.
For example: A squad of two with a discipline of 3.
Wagon with mounts etc count as 1 from the over all equipment allowed for the squad. So one member of the squad would still have 2 available items... (like a weapon and armor), and then the other could equip something in addition like a crossbow or operate a Scorpio.