Joomla Site Repair & E-commerce Integration

I am currently facing a critical issue with my Joomla website. It has been compromised, exhibiting signs of hacking, the presence of malware, and broken links which need to be promptly addressed.

Key Tasks:
- Unhack Files: Your experience and proficiency in handling and unhacking infected files is paramount.
- Malware Cleanse: Strong understanding of malware fixes and quality control will be necessary to ensure eradication.
- Fix Broken Links: Fixing broken links requires web development and troubleshooting skills

Additionally, this project requires an e-commerce integration. The existing design of the website should remain unchanged through this process. You should hold expertise in integrating shopping cart features in Joomla without disturbing the current design.

Skills and Experience:
- Expertise in Joomla and PHP
- Full stack web development skills in particular working with Joomla web sites is a MUST
- Experience in handling hacked websites
- Strong understanding of malware issues
- Web development for fixing broken links
- E-commerce integration within existing design.