Is there any issue with this handleset hitting the handle or deadbolt on the door its installed on?

Thank you for your question, Kyle. This will depend on factors such as the location and depth of your enty door handle, as well as the depth of your jamb. The handleset on the storm door is centered at 39.5 inches from the bottom of the door, and it is approximately 2.25" deep, depending on the style you choose.