Not sure on the wetting the bed. Rubi's had issues with that in the past, but they were usually because she was too excited the night before, drank a TON of water, and wouldn't pee before bed.....or she had a UTI and would get lil dribbles. She also had some spay incontinence, so that didn't help either.
As for the morning pees - yes, I do believe it's pretty common. The urine is more heavily concentrated first thing in the morning (just like our's would be), so it's not unusual for it to be a bit darker. I believe the concentration levels in the am is the other reason why when you get a sample to take to the vet, they tell you to take the first am catch.