Status Field in Forms for New Leads

In our Sugar Market forms the status field is not being populated currently for any new submissions that are not in Sugar. Can we make a change so that status become ‘New’ for any submission that does not have a related Sugar entry already?
If the submission matches a Lead with status ‘Dead’, can we change it back to ‘Recycled’?
Can I take care of this in the admin settings?
Thanks!