YES! It is extremely important that you know who sent your resume and when it was sent. One of the downfalls of working with numerous recruiters is that your resume can accidentally be sent to the same company twice. Some companies may disqualify you from the position if this happens as it makes you look unorganized.

It is important to keep meticulous track of where your resume has been sent, by whom it was sent, and when it was sent. Many job seekers do not know this, but when I recruiter sends your resume over to a company for a position, that recruiter typically has "ownership" of that resume for anywhere from 6 months to 1 year. This is why you want to be certain you always know who is sending your resume and that you only work with recruiters that are looking out for your best interests.

It can hurt your chances of getting a job if your resume is sent to the same company by two different parties. This is why I recommend putting together an Excel spreadsheet that lists all of the following information:

The date your resume was sent.
Who sent your resume (ie. you, an agency etc...).
The company your resume was sent to.
The position your resume was submitted for.

If you keep track of this information it will help you to avoid confusion with the company and/or the agency you are working with and it will make you look like you are on top of your game. Both the company and the agency will appreciate it. It will also help you if you want to resubmit your resume for another position within the same company. If you have this information you can mention it in your cover letter that your resume was submitted for another position on XYZ date.