Thank you all for your replies and advice!

I did lots of digging and reading and found that basically, a dog automatically qualifies as a service dog protected under ADA laws if he's trained to perform a specific task or tasks to assist his owner. No formal or official certification needed! If just obedience trained, like Michelle said, you need a letter from your pdoc stating the dog is your service dog.
Since there's no formal or official certification or licensure (besides the letter), these laws basically operate on the honor system. Business are only allowed to ask if your dog is a service dog or not, and may also ask what task he is trained to perform. (In the case of no task, you'd show the letter) They are violating ADA laws if they ask you what disability the dog is for, or if they ask to see proof that the dog is a service dog. However, most people don't know the laws on this subject. So carrying the identification cards & whatnot like Michelle, deters most people from asking questions! They can technically take you to court if they don't believe your dog is actually a service dog, in which case you would have to have your dog perform the trained task, or supply the letter from your pdoc.
I hope this info is able to help some others as well!!
Since my dog is trained to wake me up in the mornings, he counts as a service dog- however with that task, he's only protected by law when it comes to housing, not going out in public. (this is what a court would rule)
I'm still iffy on whether or not the pressure therapy for anxiety/ panic attacks "counts" (aka: would hold up in court) as a "task assisting me in daily functioning." I'm sure it'd sound like enough to satisfy an inquiring business, along with an identification card, but just as sure as I say that, I'm sure I'd end up in court with my bad luck!! Lol
Anyway I'm going to ask my pdoc about a letter when I see her next week.

I'll let you all know what she says! Thank y'all so much for all the help and support!