Do you only require your website to be implemented on the AWS Instance, or also require the installation of some sort of cpanel, if so do you have a license or opensource version of it?
Implement a website in AWS is simple, all you need is an EC2 instance and create a key for SSH access, there are some instances ready with apache, but I recommend to start an empty Linux instance and install latest apache, php and mysql.
Do you know how EC2 instances work? and calculated the costs of it? may I can give you a hand with that too. Just let me know if I can help you.