When a dealership uses a CRM tool the goal is to have leads parse into the appropriate fields. The first thing you want to check is that you have the forms sending in ADF format correctly.
Next, find out from the CRM provider if the emails are making it into their system in the first place. Most CRM tools work as an email client and a CRM. So it is possible for the email to get to the CRM, but not parse. If this is the case, either the ADF isn't formatted correctly or the CRM doesn't know what to do with the lead and it needs to be assigned. Ask the CRM provider if assigning the lead source is required. If it does, have them make that change and test again.
If the ADF isn't correct, go through it line by line to determine where the issue is.