Have you gotten a [!] in the mail yet? Or are you saying your tama hasn't even been offered a job yet?
If it as been offered one and it keeps getting turned down you might need to play more games to earn some more skill points, because that is what determines what kind of job your tama will be able to get. Otherwise they will just continue to turn you down.
Also, your tama falling down on screen is a normal thing.
I got those a lot but I'm over 80 in everything on my