Cleaning problems, I got spots! Options

[Stipt]

Well first off I washed my car with a circular cloth sponge which worked out pretty well. After that I rinsed it off and use a chamios to dry it which didn't seem to work so well, it didn't really pick up much water and left alot of streak marks. Its brand new and I was told to soak it in dish soap for a day and then wringe out all the soap and then soak it in water and wring it out again. That is not all...after I was done drying my car, I used a spray on wax for my car. The wax didn't seem to work too well at all. It left spot marks on my hood that made me extremely frustrated. I sprayed it on, spread it across the hood, let it dry and then buffed it off with polish car rags. I did this several times but the spots are still one it. Should I strip off all the wax with Dawn soap and then re-wax my car? What kinda brand of chamios/wax should I use that works good for you and are there better things than a chamios to dry your car with? I tried Terry towels and they always seem to have HUGE amounts of lint, so now I just use them as hand towels Thanks for the info guys! (and girls for the few on here)