It depends, if is a bike, probably want to get it fixed, but on a car, i dont know. On a bike it probably would not fail
If the rim is bent, the rim needs replaced and is the problem.
I dont believe so it would be very rare for a bent rim to warp a rotor the impact that bent the rim could have warped it though heat is usually what warps a rotor.
If it is severely bent the side wall in that area may be damaged, but if it is just a curb hit, the tire should be fine mounted on another rim. If it is a steel rim, the tire can be taken off and the lip of the rim bent back into place and used.
It depends how badly the rim is bent; you do not want to heat the rim to shape it correctly as that will cause weakening in the durability. Some dents can be taken out at the location you purchased the wheel from initially.
Yes, it is.
its usually the belt inside the tire that gets bent, from hitting a curb or rocks if the rim of the tire itself is bent you cannot reseat the tire on the rim you will have a slow leak its like trying to straighted out a coat hanger
yes. the 'rim' of a cup is the edge of the cup.
Yes is can.
Yes, it can.
Probably not. It may be worth the five or six dollars to try.