My object doesn't display the fields I want. Do I need to change the ingest form?

No!

Your ingest form is probably fine. Solr generates many fields based on the metadata you ingest via the form, and your object's content model metadata display profile is only configured to display a certain selection of those. You can configure the fields used in your Solr Metadata Display at in admin/islandora/search/islandora_solr/metadata. 

For detailed assistance with this, including ways to find out which fields you should be using, review the Metadata Display Arca Hour.