how can i get my contacts and pictures if phone won't turn on .... never backed them up

If you don't have a backup to the cloud or a computer then there is no way to retrieve

Check using any device browser by going to iCloud.com and sign in with your Apple ID. See whether contacts, photos, reminders, notes, etc. from your iPhone has been uploaded to iCloud.

If not on iCloud, then it's on your iPhone. It may not turn ON (screen issues) but maybe a computer can access it and a backup/transfer could be possible. Take your phone to an Apple authorized Service Center to find out what are your options.