You'll need to relink the tables in your Access Database on the "External Data" tab. When you get to the "Link Tables" dialog, make sure you click the "Save Password" option before clicking "OK". This will store the password information in the linked table definition. The linked tables you just created will be brought in with a "TableName1" name.
During this next step, DO NO OPEN YOUR QUERIES. They will break if you don't complete this step first.
Delete your original linked tables from the Access database. Then, remove the "1" from your new linked table names. This will effectively replace your original links with ones that have persistent password information.
I'm not 100% positive, but I believe this will fix your issue. I don't believe there is any way to trigger vba or any kind of macro when running your query from Crystal Reports, so your ODBC credentials need to be stored in the linked table definitions.