On that note, hopefully you registered in your operating/home state already too and got all that out of the way as that is another pain point a lot of people miss early on when they register a Delaware corp. Frankly, unless you plan to take a VC based round soon the Delaware corp is really a liability for new solo founders just starting out. If you are bootstrapping it is almost always more simple, faster, easier and less prone to issues to manage a state based LLC or S Corp that you setup with the proper structure to support moving it to a C corp later. Talking to an attorney and/or accountant makes all this so much easier and prevents you from winding up on the wrong side of an equation unintentionally and unexpectedly.
You don't need to spend tons of money, but get some advice from an accountant and/or an attorney on these things to make sure you don't wind up spending $10k in liabilities to save $1k in fees.
I'd say in your situation, no, the salary isn't important and in fact may work against you tax wise. But you'll have to make sure the corp is doing a real business as there are some rules around parking, though I am not an accountant or attorney so my understanding may be incorrect. Good luck!
I agree with other comments that you should consult with a lawyer and accountant about Delaware, C vs LLC vs S, and your other questions. For a sole founder, I think an accountant is more important than a lawyer. For multiple founders, a lawyer is important to lay out the terms of a founder leaving while you are all still on good terms.
If you form a company with your own capital and pay yourself back from that to avoid taxes the IRS will probably not like it.