Not all the names of contacts on my Iphone SE are appearing. The names that are on the Icloud account are appearing but not an exchange account. This jus started about 2 days ago. When I send a new text message the contact name does appear

Hi runnerworld,

Thanks for using Apple Support Communities. We understand you're missing some of your contact information. Let's make sure your contacts account has been set up with these steps:

1. Go to Settings  > Contacts > Accounts > Add Account.

2. Do one of the following:

Tap a service—for example, iCloud or Microsoft Exchange—then enter your account information.

Tap Other, tap Add LDAP Account or Add CardDAV Account (if your organization supports it), then enter the server and account information.

See more about those steps here: Set up mail, contacts, and calendar accounts on iPhone - Apple Support

Thanks.