Right on cue.
Unfortunately, for your position, these scriptures talk about spiritual death of humans.
Animal death most assuredly occurred BEFORE humans were even created.
You sure these scriptures talk about the spiritual death of humans? If that is so, why did the serpent reply to the woman (before she was named Eve) as such: "And the serpent said unto the woman, Ye shall not surely die: For God doth know that in the day ye eat thereof, then your eyes shall be opened, and ye shall be as gods, knowing good and evil". Genesis 3:4-5
Does not sound like the serpent was referring to a spiritual death. Also, what is the difference between Genesis 2:17 and these verses?
"And when Aaron and his sons have made an end of covering the sanctuary, and all the vessels of the sanctuary, as the camp is to set forward; after that, the sons of Kohath shall come to bear
it: but they shall not touch
any holy thing, lest they die. These
things are the burden of the sons of Kohath in the tabernacle of the congregation". Numbers 4:15
"And the Lord said unto Moses, Speak unto Aaron thy brother, that he come not at all times into the holy
place within the vail before the mercy seat, which
is upon the ark; that he die not: for I will appear in the cloud upon the mercy seat". Leviticus 16:2
"And he shall put the incense upon the fire before the Lord, that the cloud of the incense may cover the mercy seat that
is upon the testimony, that he die not:". Leviticus 16:13
There are more passages in The Bible in which God instructs against doing things resulting in death; these are just a few.