Before I even started properly being myself I did some research for some 2 Year Old RP on a GMod server.
When role playing as a two year old ->
I will beable to:
Be able to say 3 words fluently.
Make it sound that you can't understand properly
Make it sound that you cannot be understood properly
Ask 'why' for most questions
Do not share toys cooperatively completely. You can, but not most of the time.
IF read to, and the book is shown, point where the things are, EG: Where the animals are on the book picture.
Rarely fall; within a month then become 'confident'
Struggle with certain sounds, "sh", "ch", "th"
Eat slowly.
Love it if your getting praised.
Get fascinated by fish, colours.
Constantly have temper tantrums.
Don't understand the concept of time, so parent asks "You can build one more tower, then we have some dinner"
Sometimes hit, bite, pull - You are to not understand the concept of it hurting others.
Have a imaginary friend, blame it on him.
Wake up at night - Be disturbed by the Windows.
Get scared by imaginary things
Bedtime struggles - Struggle with bedtime.
Struggle with certain sounds, "sh", "ch", "th"