Battery Drain Limitations

Hi all,
I have the DIG Options Camera recording device connected to a front camera.
I am having problems getting a constant video picture as it seems to lose its settings when the ignition is turned off and on.
That is, I set up the SD card/camera in the settings, the recording starts (as described in the brochure) and the video picture is taken. I then turn off the ignition. (I check the SD card to see if it is recording).
The next day, I start the car, the DVR starts recording (according to the indicator lights) but when I look at the SD card on the computer, I find that there is no picture. Somehow the system loses its settings - or something.

The next option I am trying, is to wire up the recording device permanently to the power so it is not affected by the ignition. This way it will be recording all the time. I can set it to 'motion record' so it only starts when there is some kind of motion. It stops recording after no movement for 30 secs.

That's the background.

As the recording unit draws 1000mA (1 amp), will I affect the battery state of charge if I leave it permanently connected to the power? Can the battery cope with that amount of constant discharge?

Thanks for any help

bill