Philtrum thickness could be a function of soft tissue there being thick. However, what looks to be 'teeth' related with regard to the philtrum is that your upper teeth are aligned either on or behind a VERTICAL plane--like they look to go straight down but could be angled backwards a little. The relationship to the position of front upper teeth is one where the philtral region is slightly conVEX and that can make the philtrum APPEAR thicker. The conVEXity to the philtral region could be addressed by 'bucking out' (angling out) the upper front teeth. That would occur with CCW-r around the ANS point.
Since some of your complaint is the ANS, itself, is too far backwards, the ANS could be advanced forward in addition. Rotation around the ANS point in addition to bringing it forward will allow for a greater advancement of the lower jaw and a better lip to lip 'line up'. Keep in mind, that when ANS is brought forward, that includes the upper jaw being moved forward and that aspect would tend to address your complaint of recession beside nose.
In the event the CCW-r combined with maxillary advancement and the BSSO that would go with that brings the chin point (pogonian) either 'too far' forwards OR not enough, a compensatory genio could be involved to put chin point in good position.
As to the rhinoplasty, it looks like much to most of the correction to the nose would be to its BASE which would be achieved by advancing the ANS forward. That is to say...I think the maxillary (which includes ANS) advancement could be sufficient to improve your nose area since much to most of the nose issue is at BASE of nose. So, you should ASK the doctor WHAT OTHER things is he going to do to your nose in addition to the improvement the advancement to the ANS would do with JUST the maxfax aspect of the surgery. In my personal opinion, I think nasal refinements (rhinos) are best done after maxfax and as separate procedures. Also, you want to rule out a situation where you are being billed for a rhino (with the maxfax surgery) when the advancement of the ANS (part of the maxfax surgery) would tend to correct the nose aesthetic without having a separate rhino. So, you should 'grill' the doctor for an explanation of all the proposed rhino maneuvers that he plans to do in this rhino.