Enhance Corporate Logo Quality

My current logo suits my business conceptually, but its edges look soft and the file falls apart when I scale it. I want to keep the overall layout exactly as it is, yet bring the mark in line with a professional, corporate website that uses a subdued colour palette... (Budget: ₹600 - ₹1500 INR, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Photoshop, Vector Design)