No, the OP wrote "...in fact i put up a sign to let people know im a nuisance..."
Expressing she put up a sign about herself being a nuisance.
And you think this is a
good idea? Do you think that this is a constructive action, designed to mollify the business?
OP is also getting tickets for "subsequent nuisance", based on complaints the business has made against OP.
Many municipalities have specific rules about what sort of signage is allowed. I can't image any sign describing anything as a nuisance to be a positive addition to the neighborhood. I'm in an agricultural area. I see a lot of homemade signs. I also know there are rules. And sometimes town enforce them, like when my kid's dance teacher put up a banner on her storefront announcing registration. And sometimes the town tries but gets too much negative feedback - apparently some people get all happy inside when they drive by that abandoned trailer with "I<3 God" painted on it. (Personally I'd rather complain about the idiot who planted Montauk daisies all around a fire hydrant so that it's barely visible.)
The business OP is complaining about apparently does not like the view of OP's property, so OP should not be surprised by the next $500 ticket. OP would do better trying not to actively antagonize the new neighbor business.