Signs that labour my be closer than i think?

I am in a similar positiion to you, I am due on the 1st of July, going by scan dates, but by my calculations in that case I wouldn't have been pregnant when I got my positive pregnancy test! Therefore, I am thinking that I could be two weeks further on than the hospital dates suggest with baby number 4. I am also having the early labour signs you describe and I feel ready to pop. Quite literally. However the hospital refuse to change my dates, and I just ahve to struggle on until baby decides to put in an appearance.