Corrected entry: When Rose is telling the doctor about Mickey's past, she tells him that his mother couldn't cope when he was a baby and he was brought up by his gran. Yet when she thought Mickey had been killed in the first episode, "Rose", she says she will have to tell his mum - with no mention of his gran.
Corrected entry: When the Doctor, Rose and Mickey arrive in the parallel universe, Rose says "So Tony Blair hasn't been elected". However, in season one, the Prime Minister in Rose's home reality is not Blair, nor does Blair take over after that man is killed (Harriet Jones does). So, given that Blair apparently wasn't elected in her reality either, Rose's question makes no sense.
Corrected entry: Even though it is supposed to be an alternate reality, Cuba Gooding Junior is a celebrity in both, as Jackie mentions she was born on the same day as him. However Rose mentioned the date as February 1 (which is Jackie's birthday) whereas Cuba Gooding Jr was born on January 2 1968.