Nephesh, a living, breathing creature...
Gen 1:20 And God said, Let the waters bring forth abundantly the moving creature that hath life, and fowl that may fly above the earth in the open firmament of heaven.
The word for life here is...
nephesh:
H5315
נפשׁ
nephesh
neh'-fesh
From H5314; properly a breathing creature, that is, animal or (abstractly) vitality; used very widely in a literal, accommodated or figurative sense (bodily or mental): - any, appetite, beast, body, breath, creature, X dead (-ly), desire, X [dis-] contented, X fish, ghost, + greedy, he, heart (-y), (hath, X jeopardy of) life (X in jeopardy), lust, man, me, mind, mortality, one, own, person, pleasure, (her-, him-, my-, thy-) self, them (your) -selves, + slay, soul, + tablet, they, thing, (X she) will, X would have it.
Gen 1:21 And God created great whales, and every living creature that moveth, which the waters brought forth abundantly, after their kind, and every winged fowl after his kind: and God saw that it was good.
The word here for creature is nephesh, the same word translated soul. So by your reckoning, lobsters, sea snakes, clams and starfish are immortal souls.
Gen 1:24 And God said, Let the earth bring forth the living creature after his kind, cattle, and creeping thing, and beast of the earth after his kind: and it was so.
Again, nephesh, soul. So cattle, skunks, lizards and snakes are souls. Are they immortal souls?
Gen 1:30 And to every beast of the earth, and to every fowl of the air, and to every thing that creepeth upon the earth, wherein there is life, I have given every green herb for meat: and it was so.
Life here is soul, includes robins, ravens and vultures. Are they immortal?
Teh word soul comes from the Hebrew nephesh and simply means anything that is living and breathes. Satan is the one who told the lie about immortal souls, God never said such a thing, what He said is...
Gen 2:17 But of the tree of the knowledge of good and evil, thou shalt not eat of it: for in the day that thou eatest thereof thou shalt surely die.
Souls can and do die...
Eze 18:4 Behold, all souls are mine; as the soul of the father, so also the soul of the son is mine: the soul that sinneth, it shall die.
Eze 18:20 The soul that sinneth, it shall die. The son shall not bear the iniquity of the father, neither shall the father bear the iniquity of the son: the righteousness of the righteous shall be upon him, and the wickedness of the wicked shall be upon him.
Mat 10:28 And fear not them which kill the body, but are not able to kill the soul: but rather fear him which is able to destroy both soul and body in hell.
And the word for destroy here is...
G622
ἀπόλλυμι
apollumi
ap-ol'-loo-mee
From G575 and the base of G3639; to destroy fully (reflexively to perish, or lose), literally or figuratively: - destroy, die, lose, mar, perish.
It does not and cannot mean life in some other place.