Part of the reason for the recent explosion of new languages is the emergence of technologies that make implementing new languages much easier, LLVM being one of the most obvious ones. Swift, Rust, Julia, and various new implementations of older languages all use LLVM. Implementing new languages on managed runtimes like the JVM and CLR is also much easier than building a full toolchain from scratch. It's also easier…
Well, have you seen lambda calculus, which predates lisp ? That's basically lisp (it has lambda, it has bound and unbound variables, it has let, it has steps, it has recursion, ...). All John McCarthy did was implement it. That's where the parentheses come from, of course. Why not curly brackets or indentation ? Because in maths, parantheses specify sequence of calculation, curly brackets denote collections, and indentation doesn't mean anything. Since the concept being expressed is the sequence, they used parentheses. In fact the first reference I can find to parentheses dates from the ancient Greeks (and they were probably merely the first one to write it down).
Lambda calculus is a generalization of mathematical formulas by Alonzo Church to describe computation (as opposed to "just" values or functions, what normal mathematical formulae do. Functions in math are very, very different from functions in lambda calculus. This cannot be said to be very original either, as is was mostly a way to introduce some sanity into Hilbert's "Entscheidungsproblem" ("can you give a mathematical formula that solves mathematical formulae"), and more generally, into constructivism. This was made possible by finding a consistent way to express the combination operators in logic. Constructivism was a branch of logic that ...
You can keep going back for quite a while, but the point is that the form of lisp was effectively decided by someone who's name we don't even know, who lived in one of the ancient Greek city states. He (or she ? not impossible in that period) also had absolutely no idea what they were doing either.