Please read below, my proposal is not for 5 TB.
What you're asking is not realistic, even in an automated way it takes some time to download 5 TB of content and re-upload it to Dropbox. Also, individual Dropbox accounts are limited to maximum 1 TB - do you mean upload to multiple accounts or a business account ?
I have access to several dedicated servers with very good bandwidth.
I would be willing to complete this project for you for around 50$ (for 5TB of content) and on the condition that I would not spend hours of my time manually clicking on individual files to start the downloads. Basically, if the website you want the files from has some sort of manual verification to start each file transfer, it's not worth my time. If the files can be placed in a download queue in a download manager, then I can help you out.
So if you're willing to increase your budget to more realistic values (let's say 3500 INR or ~50$) then I can help you out.