I found the 3M stuff I use on Mazda clear (pns 05933 and 05937)
HERE if you want to consider it instead of the other stuff. It works great on Mazda clear- polish with two products and you're ready for your LSP.
I'm a bit

abut what you're waiting for... It is *absolutely* OK to wash repaints and let them get wet (I've had literally dozens of cars painted over the last 30 years). Once the paint dries (as opposed to "cures") you can wash it. Paint shops almost always wash the car after they finish painting it (often inducing marring like what's on your trunk). Water simply doesn't react with automotive paint, there's no potential for damage as long as you're using water of decent quality and even then, it's no different from how the paint will be in six weeks or six years

Just use a shampoo that doesn't have any wax in it (I use Griot's Car Wash or Meg's #00 or #62). Wiping it, as opposed to a regular wash, will be *MUCH* harder on the paint and I'd never do that if I were you
BTW, if *they* told you not to wash it, that's merely a tactic to blow you off for long enough that they think they'll be able to get out of being responsible for how it turned out. This is something certain places pull on customers they believe they can fleece. Heh heh, the paint manufacturer's info will prove they're fibbing if it comes to that, an Autopian called Mirrorfinishman recently contacted the major paint manufacturers about the *official* word on how to treat fresh paint and the only caution was to wait before you wax it.
The paint will continue to harden a bit, but you can almost certainly polish it now if the marring bugs you. But I guess I'd wait until it's cured and just polish it then. I do it both ways on my cars depending on how badly marred they are (I've worked paint that was a week old with no problems). But I'd fix that trunklid if it were mine, even if the marring is hidden at present.
The 3M IHG is a product you can use on fresh paint while it's curing. I prefer the Meguiar's products but the IHG is OK and it's not really hard to use (at least not tougher than #7 IMO). Just wash it, put the IHG on the repainted areas and go ahead and drive it
SpeedShine (from Griot's) contains carnauba- don't use it on the fresh paint. Just use the IHG or the Meg's #7 after a (regular) wash.
If the "hue" is off, then they might've got the paint tint wrong or used the wrong choice of metallic (there are more than one for some Mazda color codes) if they shot colorcoat or they might've used the wrong clear. This can be an issue with Mazda metallics, there are a number of variables that some shops don't consider and I've had them come out wrong in a way that really only shows under certain lighting. A lot of it has to do with what brand of paint was used. It's up to the painter to make sure that things like this don't happen and a reputable paint shop will redo it as needed to get it right. Heh heh, [insert smart-aleck quip about whether that shop sounds even close to reputable]
As for their giving you another vehicle, it sounds like it's a bit late for that

For future reference- a) don't take the car/sign the papers unless everything is OK- I've turned down special-order new cars over pretty minor flaws, b) don't let them do *anything* to the car without your expressed permission, c) don't let paint guys do anything without discussing it with you in advance, and d) never take the vehicle if something's been messed up, call them on it then and there and don't leave until something satisfactory is in writing. Heh heh, or just find a dealer who'll treat you right so you don't have to worry about such things
