Just don't follow the signs to parking. Park south of the mall at one of the hotels. There is an overhead walkway that will get you into the mall from there.
Yes, I have seen trailers and trucks park in the lots between the Mall and Ikea. There is usually lots of empty space in those lots, because they are a bit further.
Yes
Yes only to the outside parking because of the height
There is a large lot across the street on the north side. You can park trailers and RVs, larger vehicles.
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