Does anyone know! the code to put in a Universal Remote to operate the EMERSON TV/COMBO 13in.EWC13D4? I have RCA'sUniversal Remote Controler RCRN04GR and the code's in the owner's Manual don't work th

No, you are stuck and a universal likely will not have key functions you want.

Universal remotes do not always control multifunction devices like you have. Take a look at this website. They have the correct remote for your device.
19 95 RCA L26HD35D TV Remote Control Free Shipping

Every television for the past 20 years has remote capability, with no exceptions. Purchase a universal remote, then there will be a piece of paper with the remote telling you how to program it for your brand of television.

Some universal remotes will not program for combo devices using the TV code. You might try using the VCR code and see if it takes. Some operating functions might not work.

Direct (and Dish) may not have codes available for all brands and models; I know that from personal experience.
You need to got to Direct TV's website to obtain a current list of codes. Even if they have some for Emerson, they may be quite limited in their usefulness.  

my Emerson EWC1303 13in. TV/VCR combo Remote stopped working. any suggestions?

I don't know if you guys even need this advice anymore, as it's 1-2 years late, but if your universal remote has a VCR setting, the Emerson 13" CRT TV/VCR combo I have operates under that mode.
The code I used was 002. These may also work: 278, 184, 479, 000, 121, 211, 037, 043, 061, 208
Remember, program your remote as if you were setting up a VCR (and NOT a TV). For instance, on my GE universal, I hold the "code search" button down until I get a steady light. I hit VCR, and then I entered 002. Works like a charm.

if the universal remote you bought does not have the code for your tv then my friend you are in bad luck you cannot use another code that does not go along with your remote.try www.partstore.com and see if you can purchase a originald remote for you tv.good luck.

Your remote is bad that you know. Is it worth fixing it> No, Highly unlikly. A universal remote for about 10 bucks can be used to change channels and volume as well as the on and off funtions BUT a universal remote will not work the menu or any of the other feture. Go to the link I posted here to find your remote you need to get... good Luckhttp://www.remotes.com/remotes/servlet/rs?a=gmi&smodel=EWC13D4&brand_pn=EMERSON_EWC13D4&mode=large&uid=1156107437374