Have you set your system database to somewhere persistent - eg a Postgres database?
https://docs.meltano.com/guide/production#storing-metadata. This system database, in the job table is where you'll see your state. More information that might help:
• are you running through docker or stand-alone (local pip install)?
meltano —version
• Does tap-elk_rest use the state? You should be able to run the tap with
—state and see it start from the bookmark you expect.