Evolutionist claim that life arose from dead matter once the required elements were all in place.
As it has already been pointed out to you, dead implies once living. Abiogenesis deals with non-life to very simple life, which is very different.
Right off the hop, death does not pose a problem for abiogenesis, in the way you present it here.
But doesn't the fact that organisms cease to exist show that these view cannot be right, dead organism have all the required elements of life, that is proteins and all the carbon-compounds essential for life, yet they are dead. Why?
Dead organisms were once living. Non-life (different from a dead organism) was never alive, and therefore never degraded from living to dead.
So no, death does not pose a problem for abiogenesis.