Meg's Ultimate Compound is excellent for minor stuff in the clearcoat. Fantastic when applied with DA, but I've used it many times by hand and with good results too.
Good for beginners too. You would really have to work it to cause hazing.

 

Update: I just washed/waxed my car. I used the CR-Spotless water filter then blew off the water with my leaf blower. Then I waxed my car using a bottle of was that was laying on my kitchen floor for a couple years (don't judge me.... I'm not good at cleaning my house)... The wax is ,"Zymöl". It seemed to work pretty well. I'd say that 1/2 of the micro-scratches were removed. I can't remember using this wax since it's been sitting on my kitchen floor for so long.

Has anyone else ever used this wax?