Every time I am not using 1Password for a period of time, the app clears it's browser and I have to relogin to every site or find the webpage I had open.
That's normal because we do not yet have history/state restoration support in 1Browser. What you're seeing is the side effect of iOS terminating 1Password after a few minutes in the background. Once the app is terminated, 1Browser's state does not get saved to the local drive. When you open 1Password next time, it starts a fresh session of 1Browser with no history.
We do plan to provide a better experience in a future update to 1Password. However, I don't have a timeframe on this.