If you are charging nothing to enter these contests, then they are promotional as you have stated. However, some states, RI in particular make them very difficult for any promotional contest where the prize is more than $500 and you have to register with the Secretary of State (which is why most contests of this nature simply say they are void in RI, because of the hassle of registering) See: RI Gen. Laws 11-50-1. Other states like NY and FL require registration with the Secretary of State only if the giveaway is greater than $5000. Iowa bans these promotional contests if they require a "substantial expenditure of effort" to enter and of course that is subjective and ill defined by the court. Alabama allow promotional giveaways and sweepstakes without any payment to enter.
I am afraid however, that the scope of this service does not allow us to research each and every state's law for you that you have mentioned above because of the cost involved and because many states have rules that depend on exactly what you are giving away as well. Thus once you have your contest and prizes set you have to sit with a local attorney that will have to research each state to make the final determination.
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