Need help with my 9 month old, does she has autism?

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I have a 9 1/2 month old daughter and I am afraid that she might have

some form of autism. When she was young,like 1 month she would stare

at the mobile above her swing. She hits everything like she is

keeping a beat on a drum with her hand. When she first started to

" talk " she was really loud. She isn't crawling, trying to walk,

standing, scooting, or rolling to get anything. When she is on the

floor if she loses a toy she might reach for it but if it is out of

her reach then she gives up. Everyone keeps telling me she is just

lazy but I am beginning to get worried. When she sits in her

highchair she will arch her back so her stomach hits the edge of the

tray untilher stomach has a red mark on it. If anyone has any

children that did similar things when they were younger and it turned

out to autism can you plus reply and let me know some other symptoms

and tell me if I need to get her seen by a psychologist. Also I live

in Little Rock Arkansas so if anyone knows any good psychologist or

organizations to help I would greatly appreciate it.