Ok, so you just want to switch the control key with the command key correct?
You can change the keys by going into 'System Preferences' > 'Keyboard & Mouse' > 'Keyboard' > then click on the 'Modifier Keys...' button. You can then change/swap any of the modifer keys you want.
Hmm sorry, I don't have a clue then, and changing a paste shortcut so that it would use CTRL + P is even harder(actually I'm not sure its even possible) since that would normally default to print instead of paste (Unless you meant ctrl+v in which case never mind). Not sure if it can be done without some third party software(which I personally haven't heard of).
Just curious, from the way you want to remap and the referring to an ALT key, a windows keyboard is annoying you here?