Here I am to save the day! I can help with your emails on your iPhone 5c. May I ask are you able to browse the web on the iPhone without any issues? If so then what type of email are you using? For example, is it your work, personal, or school email? We also need to verify if it's a POP3, IMAP, or Exchange Server email. Are you using Microsoft Outlook on yout laptop to get emails? As you share the details then we can assist.