Log Shipping and Daily Backup
Recently, we set up log shipping to an off-site server and it seemed to be working great. The LSBackup job runs every 15 minutes.


You should change the maintenance plan and just take full and diff (if required). Since logshipping is taking log backups every 15 mins, you dont need hourly log backup.


  but my question is do I need to remove all log shipping, restore the secondary database from the most recent full backup and then set up log shipping again?


No since your log shipping is working fine. Just remove additional log backups from maintenance plans since it can break log shipping.


  Or, can I pause the LS jobs, to the restore and then restart the LS jobs?


As a caution, you can pause all the jobs, take a diff backup and then start your log backup, copy and restore jobs one by one.

Just remove the maintenance plan log backup job.

Much better to use Ola's backup solution rather than using maintenance plans.