How can I restore my iCloud deleted e-mails? I have a mail account like xx@me.com. Due to slow working and non-responding computer, I accidentally erased my inbox and trash on iCloud. 

Is there any option that I can recover them?
You say "computer" but don't specify what, I will assume that you mean you have a Mac also, in which case, on the assumption that you run Time Machine (please, everyone, make backups!) then offline copies should be in your backups.