Hello bailsinthe6,
Welcome to the Apple Support Communities! I understand that you are experiencing issues with the mail account on your iPhone 5. We have a great set of troubleshooting steps available that usually resolve issues with mail, so let’s give these a go:
Get help with Mail on iPhone, iPad, and iPod touch - Apple Support
https://support.apple.com/en-us/ts3899
First, try these basic troubleshooting steps:
1. To make sure that you're connected to the Internet, open Safari and go to www.apple.com.
2. Log in to your email provider's website to make sure that the account is active and the password is correct.
3. Make sure your settings are correct using Mail Settings Lookup.
4. Restart your iOS device.
5. Delete the affected email account from your device.
1. Tap Settings > Mail, Contacts, Calendars.
2. Tap the affected email account.
3. Tap Delete Account.
4. Add your account again.
Follow these steps for specific alerts.
"Cannot get mail"
Make sure you entered the correct password. If you enabled two-step verification through your email service provider, contact them to see if you need a special password for your iOS device.
Cheers,
Matt M.