Do I have excessive columellar show plus alar retraction? (photos)

Based on the limited photos your alar retraction appears to be significant.  You likely have an anatomical variant known as cephalic malposition of the lower lateral cartilages.

You did a good approach and got good understanding of your nose.
To begin with, hanging columella DOES NOT exist (except for very elder and heavy noses), it is incorrect to attribute the "ptosis" or droopiness to what should be called columellar exposure / show, excess of visibility, septal mucosa exposure / show, but never like "hanging", since it is not an ongoing or progressive process, it is just an anatomcal feature of stable situation.
Columellar excess of visibility can be cause by different factors, of greater or lesser contribution on each of such cases, like: alar rim retraction or vertical shorfall, oversized thickness of medial cruras, prominent caudal septum, oversized too long lateral cruras, sebaceous skin, etc; on each case the treatment has to be customized to address the specific underlying causes to the columellar exposure.
Yours seem to have as main cause the overly short vertical length of the alae, aka alar rim retraction but better said shortness of alar rims in vertical fashion, leading to exposure of the septal mucosa and the columella. As secondary factor I detect an slight oversizing of the infratip lobule.
The treatment I recommend in your case is, mainly, lateral crura caudal extension batten grafts to lower the alar rims and thus supply the missing "curtain" to cover the septum and the columella; additionaly you need to sink in very very slightly the columella by means of a very cautiously practiced tonghe-in-groove securization of the medial cruras to the caudal septum. Under NO circumstances you should admit trimming the caudal septum, that is the "easy way" for surgeons with poor understanding / skills about exposed collumellas and retracted nostrils; by doing a caudal septum trim you'd get a grotesque piggy nose.Composite graftings are not very reliable, I don't like them at all, they are also "easy" but unpredictable, you can't test them, you can't fix them with suture, etc; it is way better (and also more complex) direct visualization, intraop unlimited and versatile testing of the lower push required and finally fixing and securing in place the grafts with sutures.
If you wish better grounded opinion please do post or send privately well lit, focused and standard images: frontal, both lateral and both oblique views, also underneath the nostrils.
Feel free to request any additional information from me.

Hello and thank you for your question. Based on your
photograph, you may benefit from decreasing the length of your caudal septum to help with the appearance of your colmella.  Alar rim grafts can help improve your alar retraction.  Make sure you specifically look at before and after
pictures of real patients who have had this surgery performed by your surgeon
and not just a computer animation system. The most important
aspect is to find a surgeon you are comfortable with. I recommend that you seek
consultation with a qualified board-certified plastic surgeon who can evaluate
you in person.
Best wishes and good luck.
Richard G. Reish, M.D.
Harvard-trained plastic surgeon

From the limited photographs, there is a significant hanging columella present, and moderate alar retraction. Treatment for alar retraction usually involves a composite skin graft composed of both skin and cartilage harvested from the ear and placed on the inside of the nostril to bring the alar rim down. A columella-plasty involves trimming back excess columellar skin and cartilage. A closed rhinoplasty approach can accomplish these goals, but it's very important to choose the right surgeon because this is a very difficult procedure to perform correctly. For many examples of both procedures performed in our practice, please see the link and the video below

You are on the right track. As you know, the columella is the skin and cartilage between the nostrils and it divides the right nostril from the left nostril. The ala is the side wall of the nostril.  How much nostril you see on the profile view depends on the position of the ala and the columella. Sometimes the columella hangs down too much and you can see it not only on the profile view but also on the front view. Sometimes you are born with a hanging columella or a retracted ala, or it can be a consequence of prior surgery.In your case, I see alar retraction and mild columellar show. I also think the shape of the cartilages in your nasal tip accentuates the columella. I would consider addressing both. It can be a useful tool to do a simulation for you to discuss how much the ala or the columella is contributing to the current shape of the nose and too realistically see what results you could get.Hope this is helpful.