Logo & Auth Web App Starter

I need help tackling two essentials at once: a fresh, modern logo and a simple starter web application that already supports user authentication.

Scope
• Modern logo: Provide two to three initial concepts in vector format plus a final editable file once we lock the direction. Clean lines, contemporary feel—nothing ornate or overly complex.
• Web app skeleton: Build a lightweight front-end and back-end setup that lets users register, log in, and log out securely. A basic tech stack you’re comfortable with—React + Node, Laravel, Django, or similar—works for me as long as it’s well-documented and easy to extend later.

Deliverables
1. Logo source file (AI, SVG, or EPS) with a transparent PNG preview.
2. Web app codebase with clear README instructions for local setup.
3. Brief hand-off notes so I can expand features or tweak visuals on my own.

Keep the build minimal; this is an initial concept, not a polished production release. I value clean, commented code and a crisp, versatile logo that sets the tone for future work.