I'll break it down for you
.
"male betta" - Fair enough for a planted 5 gal.
"female betta" - A really bad idea to have in with the male, will end in a disaster. As soon as he feels like it, he will try to get it on with the female, build a bubblenest, and 'defend' it from everything else in the tank. Due to the small size of the tank, this will lead to an extremely stressed fish that will be doing it's very best to kill everything in the tank.
"seminole killifish" - an active 6" long fish is a really unfair choice for a small tank like this.
"2 oto cats" - Should really be kept in bigger groups, these guys live in shoals of hundreds in the wild.
"peppered cory" - Same as above, except grows larger and ideally should be kept in cooler water.
"2 cherry shrimp" - OK if it's planted heavily enough, as the bettas and 'gourami' will eat them.
"1 amanno shrimp" - Wooo, finally something suitable.
"2 bamboo shrimp" - Grow too large for your tank at around 5", and the specialised feeding methods make them
especially unsuitable for such a small volume of water that is heavily stocked.
"about 15 ghost shrimp" - I'm guessing these guys are tiny at the moment, but when fully grown 15 ghost shrimp would be too much for that tank considering the other livestock.
"a ruby ramhorn" - Nothing wrong here, expect tonnes more at some point in the future though.
"and a male paradise gourami" - IMO not suited for small tanks, but some would disagree. Regardless, he is a terrible tankmate for the male betta, expect them to spontaneously rip each other apart soon.
If you thought it was acceptable, why did you say "this is not for critism on my stock"? You must already know this is a very irresponsible stocking.
To answer your original question, red claw crabs are a 'no'. They need marine aquarium salt in their water and a decent amount of land to come out on to.