orhan

I think if you do not try, you will lose for sure

Unfortunately you need the correct date of birth to access your submission.
And no one will tell you the information as you were responsible for maintaining the correct records. 
Hindsight being 20/20 you should have written the information down somewhere. 
Have you checked to see if maybe you kept a copy of your submission?
Have you tried the various dates of birth you have on other documents? Deciding to use a birth date that doesn't match your passport was probably not the best idea... but hopefully you will figure it out. Otherwise you will not be able to apply this year. 
 

Hi, i have a same problem. Can a Lawyer resolve this problem? 

So have you followed the instructions above and given them these details they asked for in the inquiry email?
 

Firstly, I am very appreciated for being one of the winner for green card lottery and I was very excited. Because of my excitement, l noticed  I made wrongly a format error (month/day, day/ month) while I was logging in my birth date to the DS-260 form (https://ceac.state.gov/IV/Login.aspx) also I entered my surname wrong by mistakenly because I have two surnames. Since I made these mistakes more than once I got error ''The Case Number entered is currently unavailable. Please try again later or contact the Kentucky Consular Center (KCC) by email (kccdv@state.gov) or by phone (Public Inquiry Phone Number 606 -526-7500 7:30 am to 4:00 pm EDT Monday - Friday) for further assistance.'' I cannot login to fill in the Ds-260 form. Could you help me please? Help me please KCC dont understand me… I sent many emails to KCC, KCC gives close answers, I can't tell you that the case number is blocked...
I sent an email to KCC:
Hello Sir/Madame,
I get this error message "The Case Number entered is currently unavailable. Please try again later or contact the Kentucky Consular Center (KCC) by email (kccdv@state.gov) or by phone (Public Inquiry Phone Number 606 -526-7500 7:30 am to 4:00 pm EDT Monday - Friday) for further assistance.'' I cannot login to fill in the DS-260 form. Could you help me, please?
Sincerely Thank you.

KCC replied that:
Thank you for your inquiry.

If you are trying to access the DS-260 and receiving an error message stating that your date of birth is incorrect, it is because the date you are entering does not match the date from your original DV entry form. To access the DS-260 you must use the date of birth you used when you submitted your original electronic entry. The Kentucky Consular Center cannot provide this information for you. Please be sure that you are selecting the correct day, month, and year, in the format required by the form.

If the date you are entering is your correct date of birth, it is possible that you made an error on your original entry. If you do not know the date you used on your original entry form, you will not be able to access the DS-260 application. The DS-260 is required for visa processing in the DV program.

In order for the Kentucky Consular Center to assist with inquiries regarding a specific Diversity Visa (DV) case, you must provide the Principal Applicant's full name, complete case number, and date of birth in the following format (MMDDYYYY) as entered on the original entry. Please remember that the Kentucky Consular Center does not have the authority to tell you whether or not your specific case will be disqualified. Only a consular officer can do that at the time of your visa interview. Do not send any paper documents to the Kentucky Consular Center.

How do I write an e-mail so that I can explain my problem that the case number is blocked? Please Help Me 

KCC once required document submission, but that’s been scrapped since DV22. It’s likely that inbox is unmonitored if the same applies for DV24.

No, that’s an old template they’re using, that email is unmonitored. 
 
Give them a few weeks, then try again.

The same steps advised to OP earlier, but replace their consular post with yours. 

You have to be persistent with KCC, they need to set you up with an appointment at Monrovia to show your ID.
 
Something like this: “Dear KCC, my DS260 is blocked. If i need to appear for identity verification, please arrange the appointment. My post is Monrovia.”
 
I would also CC Monrovia in your emails: ivmonrovia@state.gov
to get their attention. 
 
I know a few people that this happened to and KCC responded with that same reply several times. It was only when they involved the embassy in their correspondence that things were resolved. I don’t know why. Once you appear at the embassy for verification they unlock your DS260 for 1 week.