Mine clicks when I turn it on, I'd imagine it does when it cycles as well but I've never heard it. That's not saying much though. I don't hang around the fridge too often.
As far as your voltage goes, if when you woke up and used the bathroom/water pump the batteries would show a voltage drop and creep up after it rested for awhile so that could be normal that your voltage was higher later in the day. To get a true reading of a battery's voltage it should be at rest for a few hours. If you are using it, it will always show a lower voltage than it would if it was resting.
If your power needs are truly as low as you say, once you are able, a 100 watt Renogy solar kit on Amazon for $180 would be well worth your while. You would likely not need to run your generator ever.
I have 200 watts of solar with the same batteries you just put in and it has never been plugged in since I put the solar on. I camp exclusively at high elevations in Colorado, don't need A/C and I have an oven, so I just chose not to use the microwave, plus I like stove top popcorn better. The 200 watts is more than enough to charge the batteries to full by early afternoon after running the furnace, led lights and stereo all night. Usually it is charged up by noon. I use a Victron battery monitor so I know my exact state of charge without relying on voltage measurements.