Start building the logo in a vector application, and worry about artboard size and resolution later: with a vector format logo, your artwork will be scalable to ANY artboard size and ANY resolution.
Don't know what a vector application is? Here's a list of the more popular ones:
Alternative to Adobe Illustrator
Is Photoshop a vector application? No.
Descenders are not "text decorations". There's no "setting", button, or CSS property, which will change the inherent display of glyphs containing descenders.
They are part of the artwork used to create a specific glyph.
A p is not a p without its descender.
A y is a v without its descender.
A g is not a g (or it's an a) without its ...