Import SMS/MMS messages and Call log backup to Fresh LineageOS
Thanks to @beeshyams for his comment.
TL;DR
Just install SMS Backup &amp; Restore or download it from apkmirror. Copy apk to SD card. Do a backup of SMS/MMS messages (don't forget to enable MMS images/file/etc in advanced settings) and Call log to SD card.  After the switch to LineageOS, install APK from SD card and import SMS/MMS messages and Call log. Done.
Story (and issues)
I finally switch from Android 5 on my Samsung Galaxy Note 3 (don't laugh, it still rocks!) to LineageOS 16.0 following Install LineageOS on hlte.
After a backup of my data (see TL;DR), I boot in recovery mode and at the Installing a custom recovery using heimdall step, the command
heimdall flash --RECOVERY &lt;recovery_filename&gt;.img --no-reboot

did not work properly.
My shell fail with :
ERROR: Failed to confirm end of file transfer sequence!
ERROR: RECOVERY upload failed!

and my device show a &quot;SECURE CHECK FAIL : recovery&quot;.
From this post,

&quot;it was the Samsung Reactivation Lock that was blocking me. Upon booting the phone, going into Apps &gt; Setttings &gt; Security and then typing in my samsung account password I was able to disable the lock [...]&quot;

And recovery file upload success!
After the LineageOS install, I use SMS Backup &amp; Restore again to import data.