You have no basis for making a claim in most US jurisdictions, as well as England & Wales. Even if your claim were to be heard (small claims courts, for example, are designed to hear almost anything - with very little procedural requirement), it would be quickly dismissed, in my opinion. Here are a few reasons that will likely stand in your way:
- I'm suspicious that you found nothing in your agreement(s) with the vendor covering their right to photograph for the purposes of promoting their business.
- Even where any agreements were mute on the subject, most judges would recognise a requirement for reasonable accommodation in granting them access to promote their work. (I take it your house exterior and door looked better when they left than when they arrive.) Since you made no adjustment to your agreements covering the prohibition of photographs to be used in promotion materials, it won't be seen as an issue of significance on your part. Most judges are experienced at dealing with frivolous actions - lower level courts especially.
- Here's where it gets really tough for you (but I don't mean to indicate that you might even get this far). Claims for compensation are granted to satisfy, or make good, damages. You've asserted nothing here that involves damage (specific & quantifiable) to you or your property directly caused by this vendor in photographing your property for the purposes of promotion. Apparently, several months passed with no complaint on your part. This could imply acceptance/satisfaction. It seems apparent, absent any actual damages, that you have no standing here. Standing is an issue that stops you at the courthouse door.
Try this as a possible counter-narrative:
Defendant shows up to do work on a home in need of important exterior door works (and structural surrounds). The condition of these defects were a potential security risk and were degrading the property further via water ingress. It was in a condition described by the owner as unacceptably unsightly, and requiring intervention urgently. The claimant reports no contemporary complaints or concerns, and pays the defendant, as agreed, indicating satisfaction. The claimant continues to enjoy a good job by the defendant. It was such a good job that defendant highlighted it, using photographs in a television advert, in showcasing the quality of their work. So now claimant is angry because the world now knows that his house was unsightly and, after engaging the defendant, is now looking so good that the defendant used it to showcase the quality of their work.
I'm guessing that you've already spent more time and emotional energy than could ever be answered by even the most fabulous estimation of your potential case's worth. It's also worth considering that your next steps will likely start utilising the valuable time of other people (i.e. court officials and staff) at an inauspicious time. Consider walking away as maybe the best action you can take here.