Registration of Birth and Death Act 1969 is extract in reproduced here:

S-13-

13- Delayed registration of births and deaths

1. Any Birth of which information is given to the Registrar after the Expiry of the period specified therefore, but within thirty days of its occurrence, shall be registered on payment of such late fee as may be prescribed.

2. Any birth or death of which delayed information is given to the Registrar after thirty days but within one year of its occurrence shall be resisted only with the written permission of the prescribed authority and on payment of the prescribed fee and the production of an affidavit made before a notary public or any other officer authorized in this behalf by the State Government.

3. Any Birth or Death which has not been registered within one year of its occurrence shall be registered only on an order made by a Magistrate of the First class or a Presidency Magistrate after verifying the Correctness of Birth and Death and on payment of the prescribed fee.

2) you have to make application to magistrate for registration of birth 

3) enclose school leaving certificate which reflects date , place of birth , affidavit of his parents 

4) 

In 1998 Crl.L.J.2797 (Mayank Rajput v. State of U.P.) the Allahabad High Court after following the principles laid down by the Hon'ble Supreme Court has held that entry made in high school certificate is presumed to be correct and burden lies on either side to prove it or otherwise. In the said judgement, it is also observed that, (Para 32) reference was made to earlier decision of the Hon'ble Supreme Court in Mohd. Ikram Hussain v. State of U.P.,(1964) 5 SCR 86, 10 : AIR 1964 SC 1625 : (1964 (2) Cri LJ 590) wherein certified copies from school registers were produced along with the affidavit of the father stating the date of her birth. The Hon'ble Supreme Court held that these amounted to evidence under the Indian Evidence Actand entries in the school registers were made ante litem motam. Further, in the same Allahabad High Court decision, another judgment of the Hon'ble Supreme Court in Amrutlal Someshwar Joshi v. State of Maharashtra (II), 1994 SCC (Cri) 1604 : (AIR 1994 SC 2516) is referred, wherein, it was held that school leaving certificate can be acted upon with reference to the date of birth given in the certificate.

though you have addressed your query to SHAVETA only still I am giving a very short reply,

contact panchayat member or sarpanch of said village and try to get a copy of birth registration register, which usually kept in custody of village chowkidaar, if his entry is found in the chowkidaar register, you can get the certificate else nothing can be done except correction in passport.

1. SDM and Registrar are right. UNless your husband produces documentary evidence to prove that he was a resident of that place at the time of his birth they cannot register his birth. The documentary evidence can be the proof of residence of his parents at the time of his birth. If he is able to produce any such proof and even then he is not issued birth certificate then only your husband would have his remedies before the court, not otherwise.

2. The place of birth in the passport also cannot be changed without required documentary proof.

1)Birth Certificate is one of constitutional right of every individual.. 

2) You need to engage a local lawyer and file a case against Birth and Death registrar. 

See if there is no documentary proof as such of the village then a petition in high court  can be filed seeking direction for authorities to issue birth certificate and in support of petition Affidavit for same can be filed.

The writ petition in high though won't take much long but can atleast take 2-3, months and depending upon pendency of case.

It will be better to change the address and that is also you can do online, option of which is available on their site, going in litigation will delay the matter undefinitely.

1. As per the information mentioned in the present query, makes it clear that SDM and other government authority has been talking in abeyance of the law.
2. Yes, there try that he may need local residential address, but at the same time if the person doesn’t have so then he can give the affidavit stating in oath that he was there and can give any proof of having there parents there in the village at the time of birth (this may put up your case in your favour).
3. Yes, you should file a Writ petition in the nature of Mandamus under article 226 of our Constitution seeking directions to the authorities to issue him late birth certificate.
4. Once you do that then you may be have to go through the three tier process for getting the same and high court order would help you for  sure in expeditious manner.

1) You better change in passport birth place as Delhi, that will too fast as of now Rohtak officer is not accepting your application to provide birth certificate.

You need to file a writ petition for the same in HC. HC will issue directions to the said sub registrar and department

Hi,

If possible submit the affidavit in this regard and get the things done. 

1. He should execute an affidavit before a 1st class judicial magistrate of his place  affirming that  he was born at that village in Rothak  on that particular dfate when his parents stayed at a particular address and shortly thereafter shifted to Delhi  for which the birth registrar of his village is required to issue him the birth certificate.

2. Based on the above affidavit, the said registrar will issue the birth certificate for him.

3. If he still refuses to issue the birth certificate (which is very unlikely), he can file a Writ Petition against inaction of the said birth registrar praying for a direction upon him to issue the birth certificate based on the said affidavit.

If he is required to give birth certificate, he can obtain a certificate certifying his date of birth as per service records from his office. 

If that is not accepted then he may have to file a suit seeking to direct the concerned authority to issue the birth certificate based on his application and the documentary proofs he submitted before court to support his claim.

His parents must have local address proof of village ?