Hello FordE8,
Thanks for using Apple Support Communities.
We understand you are experiencing some issues with seeing the photos you've sent in the Messages app. We are happy to help look in to this with you.
To start, we want to make sure that your device is up to date with its iOS version. Go ahead and check for any available updates for your device using the steps in this article and check again afterwords:
Update your iPhone, iPad, or iPod touch
We also would like to see if there might be a setting that could be interfering with those displaying properly. If you navigate to your Photos app and select the All Photos tab and scroll to the bottom, do you see a progress bar showing there? Take a look at the steps listed in this resource about iCloud Photos, specifically the section titled "Save space on your device" to see if the Optimize Storage setting is enabled:
Set up and use iCloud Photos
Let us know and we will proceed.
Cheers.