State tax filing

Technically, from this excerpt from the Rhode Island Division of Taxation, you are required to file a Rhode Island tax return if you are required to file a federal tax return:  

Here is a link to the article:  Rhode Island tax filing requirements  As a practical matter, since you had taxes withheld and assuming they were sufficient to cover your tax obligation, it's not likely you would suffer serious repercussions if you didn't file the Rhode Island return.