Welcome to the forum Gibs!
Like BigG said you can find alot of useful information on the main sight. But I'll try to answer some of your questions. First off how big is she? I have a 1 3/4" RES that I've had for about a month now. They definitely go through some transitional periods but here's some answers:
1. The fact that you've seen her up on her basking dock is very good. Most turtles are extremely skiddish, especially in a new environment. So most likely she's basking when you are not around and when she does see you or sense you comming, she's diving back into the water. Just give it time, she will eventually get comfortable and bask around you.
2. Yes she is sleeping. My turtle is sleeping usually before I turn the lights off. It is normal for them to sleep with their heads pulled in. I'm sure it makes them feel safe...kind of like kids and keeping the covers pulled up tight.
3.If you are talking about the calcium blocks that dissolve for the water, i'm not sure if that's safe? There might be other chemicals in it, so try to keep those away if he's eating them. For calciuam supplements just use Cuttlebone. You can find it at any pet store in the bird area. Just remember to remove the hard backing b/c it's hard for turtles to digest. Just search the forum for cuttlebone. There actually might be sticky on the Food section.
4.My turtle (still very young) is just now getting into chasing fish. He had a hard enough time eating stationary pellets. There are people on this sight that say their turlte live in perfect harmony for months with a fish, and then wham, turtle eats fish. Others have hunting experts that won't quit till all the fish are gone....just like before, all turtles are different.
5.IMOA I would try to keep her in her main aquarium for a month or so until she gets comfortable. If you are constanly picking her up and moving her around she won't have any time to adjust to her permanent home. Like I said, my turtle is very small, and I haven't handled him but maybe 3 or 4 times since I've got him. And those times were only b/c I had to rearrange his tank.
6. If your turtles is a juvenile, basically under 3 inches maybe? I would keep the temp around 78-80. But if she's 3-4inches or bigger 75-78 is perfect. You do not want the water too warm b/c this can cause escessive shedding along with she won't want to get out of the water to bask. The basking area should be 10 degrees warmer, but shouldn't reach over 93 or 94. Most people on this site will tell you around 89-91 is perfect basking temp.
*MAKE SURE YOU HAVE A UVA/UVB bulb for the basking. This light is essential to their calcium metabalism. It is neccessary for their shell health. You can get one at any pet store.
Just browse the main sight and you'll find TONS of information. But we are all here to help!
