Unfortunately S3 have 5GB limit for single operation upload object: https://docs.aws.amazon.com/AmazonS3/latest/dev/UploadingObjects.html

• Upload objects in a single operation—With a single PUT operation, you can upload objects up to 5 GB in size.

• Upload objects in parts—Using the multipart upload API, you can upload large objects, up to 5 TB.

This plugin don't implement multipart upload and can't upload big files to S3.