First, go to rockauto.com and get those parts MUCH cheaper.
Second, torn balljoint boots won't cause you to fail tech if the suspension - particularly the wheel bearings - is solid. Grab the tire and shake the hell out of it (you're a big guy); if it doesn't have any noticeable play or obvious "clunking" you are probably fine for autox school.
Check that all your wheel studs are good, all your lug nuts are torqued, tires are good and have decent tread remaining and no cords showing. Battery needs to be secure, not just held-down. Etc. Autox school is probably a great place to get your car evaluated some of the miata experts.