If you are applying for SDI, one of the requirements is that you are unable to do your customary work for at least 8 consecutive days. See here for all the eligiblity requirements: http://www.edd.ca.gov/disability/DI_Eligibility.htm
SDI is inherently inconsistent with unemployment benefits because one requires certifying that you can't work and the other requires certifying that you can. It seems like you are the victim of a misunderstanding here, and perhaps should not have been applying for SDI--at least not yet.
The best approach is to be forthcoming and honest with the EDD and explain that you misunderstood the requirements for SDI and that you have actively been seeking work and are, at least at the present, able to accept work. If you can supply proof of recent interviews or applications that you have submitted, that may be helpful as well, as it demonstrates your good faith.
You are certainly on the EDD's radar at this point, but that doesn't mean you are in trouble. If you can convince them that you misunderstood the requirements for SDI but are presently able and available to work and have been applying for jobs, your claim for SDI will certainly be denied but your UI benefits will likely remain instated. Of course, no one can predict exactly what will happen in a given instance, but it is certainly clear to me that you were not attempting to "cheat" anyone here, and I imainge that will be clear to the EDD as well, once you get a chance to talk to them.
Please do not hesitate to let me know if I can be of any further assistance.