The simple answer is yes you can find work after getting your license back. The "gut level" answer is it will take some time (weeks to months to possibly years) and effort (seriously focusing on recovery and meeting all the requirements of your KARE agreement). Mona is correct when she says action against your nursing license, especially unresolved action, can make it difficult or impossible to obtain licensure in other professions such as teaching, other health care areas, the law, etc. There are positives and negatives no matter what course you choose. Sometimes consulting with a career "consultant" or experienced license defense attorney can provide wonderful information which may provide insight about your specific situation. Something to think about. Yeah, I know it costs money to do that, but that old saying, you get what you pay for is absolutely true.
Your career has been in the ER. If you want the best shot at finding work while in the KARE program (or in a disciplinary monitoring program) you'll have to change the focus of your job search. I work with a license defense attorney and what we've experienced over the last several years is the best way to return to nursing is to look for jobs outside the hospital. Long term care, clinics, doctor's offices, dialysis, mental health facilities, drug treatment facilities, etc. Think outside the box (such a true cliche). Even then it won't be easy.
Another suggestion is to look at careers where your nursing background is a plus but a nursing license isn't required. A couple of examples are sales (medical devises and such) and research. My ex-wife is a nurse and works for a company that monitors medical/pharmaceutical research sites. Our oldest daughter does the same thing and she has a bachelors degree in business/marketing (her medical "background" consists of listening to her parents talk shop and working with her Mom when she owned a small research monitoring company).
It takes perseverance. If you are the sole bread winner, having another job outside nursing (to pay for the testing and other expenses often associated with alternative programs such as chemical dependence evaluations, psychiatric evaluations, etc.) may be necessary. Or you might consider starting a savings account specifically to pay for the fees associated with the agreement.
As license defense specialists, the practice has noticed a major change in the way some boards of nursing are dealing with complaints against nurses...much more strict. There is a myth in the nursing profession that the board of nursing will "assist" the nurse. Not true! Their job is to protect the public. The state and/or local nursing association may be a good resource when it comes to advocacy or assistance in finding practice areas a little more willing to work with recovering nurses. But looking for "fairness" in the profession will only increase your resentment, anger, and anxiety. Building a solid base of recovery and facing the realities of an unfair system when it comes to this disease will go a long way in helping you get through the reinstatement process. It won't make easier.