Ok, resisting the urge to make fun of you being a woman right now, I'll try to help
I don't really understand your description of the first issue, so I'll leave that one alone. The second issue, the lagging, sounds like a misfire. Especially if it stopped after you turned the car off and on again. So did the car sound any different? Like a WRX sort of sound? I would be checking spark plugs. Potentially coilpacks as well but that's generally associated with high rpm misfires rather than low load.
As for your last post... It doesn't sound like there is any actual issue there. Automatic cars will move as soon as you take your foot off the brake, that's the stall point of the torque converter. And turning the steering wheel in a car with power steering puts load on the engine, so the revs need to go up with it.
Of course I may have completely misinterpreted your descriptions and I'm way off lol. If you could get a video of said problems then that may help