Can you use self ligating braces for orthodontic correction?

Hello doctor,

My left upper and lower wisdom teeth were removed at six and five months. The upper tooth for cheek biting and lower due to pain and infection. I have impacted left first premolar and adjacent baby molar tooth, which was present and was removed four years ago. Initially, I consulted an orthodontist in a dental college, who suggested a waiting period of two months for the exposure and bracket placement on the impacted tooth. But that orthodontist only used the old conventional type of braces. After that, I learned that self-ligating braces are faster than the old ones. So I changed to a new orthodontist in a private clinic. This orthodontist has a dental clinic in another city he does mainly clear aligners and lingual braces. When he examined, he told me I had a class 2 bite and started self-ligating braces in the lower arch since I have an impacted lower left first premolar. Braces treatment began three years ago, and the impacted tooth is still not exposed. I feel that decision to have self-ligating braces is not correct. I noticed that my left incisor has moved, and the bracket placed on the left canine is lower than other teeth; I feel that the brackets are incorrectly placed. The brackets were initially placed by his assistant. So, I am concerned whether I am in the right hands. Can you please give your opinion regarding the ongoing braces treatment? In the upper arch, the second left molar is tilted out to the cheek side and does not touch the lower left second molar tooth. Which is the better treatment to correct this? I have an impacted right upper and lower molar. The orthodontist told me that he would try to move up the impacted first molar but I am unsure about it. I did not start with the upper arch treatment as I am nervous that some problem may occur. Also, the orthodontists said that the right upper wisdom tooth needs to be extracted. Should I change the orthodontist or continue with the same? I am enclosing my OPG and lateral cephalogram for your reference. Please give me your opinion on the ongoing treatment of bracket placement, braces for bite corrections, and the second molar tilt.