means EE is trying to create a table that already exists (for the people add-on), the strange part is EE checks for the table before attempting to create it so it should not throw that error if it has access to the tables in the DB.
The second error:
The incoming statuses argument must be an array with keys as the $status_id and values as the $status_code EEM_Status – localized_status – 284
Usually means your site doesn’t have the correct privileges to create new tables in your database, or update specific tables already created in the database.
May I ask what the problem with the host was and what was done to fix it? It’s likely related to the errors you are getting now.