If your namaz has missed unintentionally either due illness or some other reason, it’s ok but make sure that in Islam all the rulings and shariah are conditional there is no fixed condition specially in Ebadat so for example if there is unusual conditions comes in our life then the ruling will be also accordingly. So if some is sick and can’t do Wudhu or can’t pray while standing or even sitting and can’t perform mustahhabat etc then he /she can perform his/her ebadat on very least level because that time it was his duty was up to that level. So no need to be worry that you can’t pray your salat nicely. Allah doesn’t want our deeds just He wants our commitment. So sometimes if you can pray your namaz by making signs while you have no strength to sit or stand that would be 100 better that you leave your pray and pray it with full strength.
As for as Dua and Asma al Husna concern you may recite even if you have not done Wudhu.