PC/UDM/Flex probably would have a better choice for first time buffing/polishing choice. Hazing and swirling using can be easily installed on car finish from improper rotary use. As long as the swirls are not too bad, I would recommend switching to a PC or similar DA and use a polish like
Menzerna IP/FPII. Start with least agressive polish and pad combo ensuring to fully break down product in a test area. Once the test area combo works, then move onto rest of the car.