The "is it bad for the car"... well, if you like to do burnouts, or drive in an.. umm... spirited manner, those 22s will place more stress on your transmission than say 17s would. Bigger rims &tires normally equal heavier, which places more stress on the drivetrain. A quality rebuild fixes that, so short term maybe, long term no big deal. If you drive it hard a 30-40 year old trans is gonna die anyways.
Rubbing is going to be an issue with any BIG tire package, especially if it's wide. It's less the height that gets you (although that does happen to some extent with springing action in the suspension. Instead, think like this. From the hub to tire edge on a 32" tall wheel/tire you're talking 16" poking back towards the frame. Now, how much distance there is from the back corner of the tire to the frame/wheelhouse depends on three things - the offset of the rims (how far from the centerline of the wheel to the edge that the hub surface sits), the backspacing (how far from the hub surface does the wheel project inwards towards the car) and how wide is the wheel and tire - some tires are too wide for a wheel and balloon outwards.
Lemme try this
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View attachment 85642
Image on left is a wheel with what's meant to be a neutral offset. You're looking from above as if you see through the rim. Pretend it's in the middle. If that vertical line moves left, or right, towards either edge of the rim is what they call negative or positive offset.
Notice how on three wheels meant to be the same size above you can have more of the wheel/tire tucked in behind where you bolt it on, or less? Thats that backspacing I mentioned.
Wheels with more backspacing tuck under the wheel lip more, at the expense of getting closer to the frame. That's easier to handle on the rear wheels, but creates rubbing sooner on the front, esp when turning to the stops.
Wider wheels/tires without a lot of backspacing can turn further, but tend to stick out past ten fender lips and at best can look goofy, and at worst can be down right illegal and get tickets like in Massachusetts when I was there 2 decades ago.
If you run too big a tire for a rim width you get ballooned sidewalls, you don't want that:
View attachment 85643
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Does that kind of make sense?
On the rim itself it should give an offset in a +/- with a larger value for the backspacing. That, with the tire size, will let us know what yoube got for rims/tires. Heck, you may already even have adapters on there which is a whIle not her item/option guys use to put incorrect wheels onto a car so they fit more properly.