Yes — all of that. Toolbox is under the MIT licence, so you can use it, modify it, ship it under your own name and charge money for it, commercially or otherwise. The only condition is that you keep the copyright and licence notice somewhere in your copy. No permission needed, and nothing to pay.
Two practical notes if you do: the app ships your own build, so you'll want to point SUFeedURL and the Ed25519 key in Resources/Info.plist at your own update feed rather than this one, and Sparkle — the only dependency — is MIT licensed too, so it comes along on the same terms.