HELP! Need advice resume advice to get an interview

I just graduated from nursing school 3 weeks ago and a hospital I do agency with has a New Graduate program that is to start in october, I went to the HR department and the receptionist informed me that there was only eight positions left,I really would love to get hired by them, but I think my resume skills may be lagging due to the fact that I appliec to other hospitals and have not gotten one phone call. If anyone has some advice on how I could my resume noticed it will greatly be appreciated, where I live at we have to upload or copy and paste our resume's , not sure if trying to hand my resume in person would be wise either.