How would I get started to get my husband's papers fixed. He has been deported, but don't have the record of the deportation.

You really should start by having an attorney review his immigration record. A copy of the record can be obtained through the Freedom of Information Act. This requires your husband to request or authorize the release of his records to an attorney. Once an attorney reviews the records, he/she can tell you how to best proceed. It may be as simple as filing a Form I-130 or the case may be more complicated requiring one or more waivers. You can read more at http://myattorneyusa.com/family-immigration.