I am applying for a job that I really want. On the form it says for references, one from previous employer. I did a good job there but in the last few weeks had a bit of a crisis and didn't ring in absent and then I left immediately with no notice. It is large comapany so HR will do the references but i'm scared of putting the previous job on incase they give me a weak reference. If I put just any references on (not my last employer), will potential new job pull me up on it and request?