Hi there, I will done your project with this step.
1) I will make backup from your MySQL Database and restore it into your RDS
2) Its mean I will configure your security group for your EC2 and your RDS
3) Do you want install SSL too or maybe I will secure it with firewall.
I'm a computer teacher and also as system & network administrator. Please feel free to discuss to make a deal and I could done your project asap.
Thanks & Regards,
Suwandy