S.L.
Please have her evaluated. My son was eligible for services because he said about 40 words at 24 months. At 3 she should have lots of sentences, and more vocabulary then you can count. Her pronunciation does not have to be great but she should be talking, singing, etc. If she doesnt like to listen to stories, and cannot tolerate singing, her kindergarten year will be a complete disaster! By six she will be expected to take all the rhyming she's heard and begin to understand rhyming and use it to help her to read. At five she should take all her experience of listening to stories and begin to use it to learn to read and talk about stories. None of the other symptoms sound worrisome, but early intervention will evaluate everything just in case. Things you didnt mention: Is she affectionate with her parents? Does she usually make eye contact? Is she overly picky about textures of clothes and foods? Does she get "stuck" on one thing playing only one thing over and over. Imitating house work is imitating lots of things, not just pretending to iron every single day for hours. As I said I had my son evaluated at 24 months they came to my home, it was free and easy! there's no reason not to get her started and maybe by the time she goes to school she will be completely ready!