1. There is no set time you should wait. You can take the relationship to that level as early as a month in or as late as 3 years in. Whenever you both are ready is the perfect time.
However, a week is definitely too early. It brings up suspicion and questions such as “is this all he really wants? how will this change the relationship?” and more. I think you should wait a while. You’ve just started dating and you don’t want to jump right into it like this. Also, waiting will help you judge what type of boyfriend he is and what he really wants. If he does only want sex, he won’t be happy about waiting, and he probably won’t do it at all. But if he truly wants you for you, then he will have no problem with waiting for a while.
2. Well, he certainly doesn’t seem like he wants to be open with you. There could be a lot of reasons for why he isn’t answering you. He returns your feelings, he doesn’t feel the same but is afraid to tell you, he’s avoiding you because he wants to get over you, etc. Until you get an answer from him, it’s nearly impossible to tell what’s going on in his head.