No, the patches completely broke my game. There are no more missions on my map, and it won't let me switch to Michael. I looked it up on Google, and it looks like there's a lot of people with the same problem. I'm basically screwed unless Rockstar releases a patch to fix it.
You can only get one game at a time with the trial. I found that out after I signed up for it. As for shipping time, it really depends on where the game is being shipped from. I was supposed to get mine from a state that's not too far from me, but the game wasn't available there, so they had to ship it from a center that was much farther away. I won't get the game for at least a couple days now.