I dont see why it would be a issue to keep cool....they have some small fans at walmart that hook into your phone port...i am sure those would be fine
I don't think it's in there policy for a umbrella because that could be used as a weapon so get you and Mom a poncho and far as the fan probably not and the ice anything they can sell you they are not going to let you bring in the venue. ..
Yes you can. Just nothing you can throw. Also, the ppl at the concession stands will give you extra ice. Or if you get the Verizon VIP package they have a special area with clean restrooms and cold drinks that you can get ice from the bar there as well at no cost.
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