Good day,
I have over 11 years of experience on Moodle and can build this website with integrations for you, but you need to expect that it will cost you much more than the suggested budget, It would be around $1500 in a month in order to give you a good work without any problems and to your liking.
Please initiate a chat with me to continue. Kindly note that I can communicate in English only.
Regards,