That's incredibly unusual to have multiple holes (or even a single hole) after 3 weeks of using the hammock, even if you're sleeping in it nightly. My guess would be that something you're unaware of is rubbing or scraping (does the hammock hang on a stand that might be touching the fabric?) or something else is causing the punctures/abrasion (have any pets? is there anything unusual on your blanket or that you're wearing while in the hammock that could cause it?).
If you've eliminated all possibilities and convinced it's a manufacturing defect of sorts I'd be happy to replace the hammock for you, just let me know how I can help.