you would have to set log_bin_trust_function_creators to 1 in AWS console, to load your dump file without errors.
To load your dump file without any errors, set log_bin_trust_function_creators to 1 in AWS console
You can also ignore the errors by using the -f option to load the rest of the dump file
mysql -f my_database -u my_username -p -h
my_new_db.xxxxxxxxx.us-east-1.rds.amazonaws.com < my_database.sql
Even if there are errors, -f will report it and will continue processing the rest of the dump file