My daughter had these behaviors from ages 4-6:

1. Explosive tantrums
2. Inability to share or play in group setting, need to control play
3."eloping" from classroom when stressed or upset
4. Sensory issues in the school setting -- sound, over-reaction to touch
5. Early fluent reading

7. Relatively Rigid, unyielding personality

School personnel consistently said Autism Spectrum, various medical professionals consistently said no.

Now at age 8, she has outgrown these issues completely as far as I'm concerned. This year she was given a 2 year grade skip, and she is not having any behavior problems, she is doing all her work, and WOW - she has even made friends! She does report being bored with school and wants to homeschool so she could go at her own pace and learn more... but at least for a few more years we'll keep her at school. She is happy with herself, and her words exactly: "I'm not normal, I'm awesome!"

Those difficult years aged me a lot... IMHO, I really don't think it's possible for anyone to make an accurate prognosis for a 4 year old. I also don't know if anything we did for her made a difference, or if she just "outgrew" the difficult phase. I just know it was really difficult.