Hello, I can fix the bug which is redirecting back to the cart page from your Magento 1 store as per your requirements. I am senior Magento developer and I am absolutely sure that I can do the project very well. Share the link to your store.
Lets have a quick chat to discuss further.
I have extensive experience in designing and development of Websites, Mobile Applications, Management Systems and E-commerce or Online Stores Solutions.
Kindly have a look at my Portfolio and Client's reviews via this link,
https://www.freelancer.com/u/junkyfunky
Thanks,
Faizan A.