Yes.
More than likely there is also some kind of mechanical issue as well, you need to get this fixed or the same thing will happen to your next tires as well.
Worn shocks and/or struts will cause cupped tires. There may be another suspension or chassis component worn, but the shocks/struts are the first components that should be inspected.
Bad alignment
No, rotating simple switches the position of the tires from their current locations. Balancing involves placing counter weights onto the rims. Hope this helps.
You have a damaged tire. Try rotating the front tires with the rear tires to see if the wobble switches to the back.
The loud drone sound is from the wheel bearings. I had to replace the two front wheel bearings on my 2004 Mazda3 2.3. try rotating the tires first, because a bad tire will sound almost the same. I also have the same problem. I did rotated my tires but find out all suspensions need to be replace. Bad suspensions cause tires to cupped and make those drone noise.
10 to 20 dollars
no
Undue
Not rotating your tires will cause niosy saw tooth wear. Tires should be rotated at least every 10,000 miles.
Yes, in fact, rotating and replacing tires regularly is essential for maintaining your car's optimum gas mileage.
yes 13000 miles both front tires inner wear.running 35 psi
Lack of rotation, aggressive driving, or a worn steering/suspension component. Check the tie rods and ball joints.