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Here's a javascript library that lets you generate your own language that compiles to Javascript. https://pegjs.org/ It's a compiler generator. You can either use the command line tool and feed it your grammar (You have to write that) and use the generated parser.js which can then run your program, or use peg.js as a dependency and generate your parser at run time before feeding it your program.
There are books which will talk you through the process. Crafting Interpreters is highly spoken of; I used Writing an Interpreter in Go, because I like Go. Then there's Compilers: Principles, Techniques, and Tools (the "Dragon Book"). This is considered heavy, but a classic, it's been around since '86.
3) I downloaded specification of C-language preprocessor, which named ANSI C++ 98 that time. And started to implement it with my basic knowledge of C++. I was 16-17 years old that time. It took me about 2 month to complete it. You can check its source here