so let me run this by you..
vw just called and said the reason my dash is lit up is because i am running two different tire sizes and the sensors are detecting differing revolutions.
i am low on staggered mercs, 8.5 n 9.5 with a 215/225 40
the size difference is ~1%
i told them to try again. there is no way in hell that this would cause this much to light up. not to mention if you put a donut on the car, this means you lose abs and airbags.
that answer makes no sense.
and i am honestly not sure about the tpms but i recently had a flat and absolutely nothing was illuminated so if in reality this car has tpms, it does nothing and indicated nothing therefore i feel it does not have it.
you have tpms. the reason that you probably didn't get any warning when you had a flat was because it doesn't actually monitor tire pressure like sensors in the wheels do. it takes wheel speed measurements at each wheel along with some other bits of data and if it detects something "off" then it will throw the tpms light. My 2015 SE did it to me the day I drove it home. I bought it used and the genius techs at the dealer put the front tires at 30psi and the rear tires at 40psi. It didn't throw it on right away, but over the course of driving about 10+ miles away from the lot, the system recognized the differences and threw a tpms warning. I put all to 36psi per the door sticker, reset the tpms, and all has been good since.
check your glove box. if you have a tpms reset button in there, then you have tpms. I'm fairly certain that you have it, but I doubt that running staggered is causing your issue... although to be honest, aside from looks, you get no real benefit from running a wider wheel on the rear tires of a front-wheel drive car. I guess it's possible, but I don't think it would light your dash up like a Christmas tree. I'd think it would just throw a tpms warning.
I'd lean more towards what Gbells said... a sensor or the tone ring, and then I'd highly consider going with the same width wheels all around unless you really need the scene points.
Also, what is an "sai" warning? Never even seen or heard of that one. If that's in reference to "secondary air intake" then that's a separate issue from abs, etc. but that doesn't have it's own warning lamp. SAI issues will throw a DTC and light up the check engine warning.