No but, it will greatly affect the handling and cornering of the vehicle.
When the tire tread wears down to the wear bars, the tires are ready for replacement.
A broken strut will definitely affect your tires. They will wear quicker, and possibly off center. As for the broken strut affecting your brakes? Mainly for the fact that your car will not be performing correctly, your steering can be pulling to one side or the other, and when you brake, this can be enhanced.
No, since they dont have the original tread, they tend to wear down quicker.
Tires have molded indicators called "wear bars." If these are visible across the tread pattern, your tires need to be replaced.
did you have the vehicle aligned when you put on the new tires? check suspension for wear and bad/bent/broken parts.
Yes. Tires get hotter when speed is increased causing more wear. Example- Racing car tires wear out very quickly because of speed combined with high heat. Indy cars and cars used in Nascar may only get a few laps before needing changing. Addition: The effect isn't as drastic on passenger tires but speed does effect wear.
Slow down and avoid driving into deep water covering the road. Replace worn tires that have less than 4/32" of tread wear left.
The stabilizer bar of a car is part of the vehicles suspension. The vehicles suspension is to allow a smoother ride, especially when driving on rough roads or under difficult weather conditions. The suspension ensures that the tires remain on the road. If the stabilizer bar on your vehicle is damaged you can cause more wear to your tires, your vehicle can become hard to steer, which can potentially cause you to lose control of your car and cause an accident. It is best to get it fixed as soon as possible to avoid any additional damage to your car and avoid causing an accident.
No. Severely worn shocks might upset the handling, thus increasing tyre wear - but they have no direct bearing.
Bicycle brakes allow the rider to slow down in a controlled manner and with out undue wear on the tires.
It is left on the road as you travel
It would be unusual for the entire stabilizer bar to require replacing - typically just the stabilizer bar links wear out.See "Related questions" below for the information on replacing the links.