Thank you for your feedback! There is no HP indicator yet and I can see why that would be very frustrating!
Yes different pokemon drop different attacks and you can even use them in a strategic combo! I'm not sure why the Pokemon aren't dying, I hope it's not a bug and will look into it! Slowpoke may appear impossible to beat. It can heal itself, so if it isn't beaten fast enough, he will keep regenerating health! Another good reason for me to add an HP indicator!!
Thank you again for sharing your thoughts!