Hey Erik,
This is not as complicated as you might think it is. You're overthinking this out of nerves.
You've been dating this girl for 2 weeks, yes? Well, just to start, 2 weeks is a very short time. There's bound to still be shyness in there, since there is still much to develop.
There is no huge problem here, just both of you holding back. It's normal, since you both are shy and insecure about how the other would react. You're both afraid to make things awkward out of showing too much affection, or too little for that matter.
The trick here is to stop overthinking. It takes some mental excercise but it's rather easy after the first steps. Since the relationship is young, you both think what the limits are. The only way to make these limits more tolerant is to surpass them. Remember that she might be wondering the exact same things. If she would make it awkward to show physical affection, if she made the kiss awkward and so on.
These are all just insecurities though. Insecurities aren't real, they're just doubts in your mind. Don't let them get in the way. Just like you don't think she's awkward, she thinks the same about you. Stop distressing so much on how you yourselves should act, and just act naturally. Go with the flow.
Touch her and check her reaction. Hugs are a good start. Tender, tight and long hugs. After that, kiss her more often, and unexpectedly. Don't be afraid to do it. It's the only way both of you will become more confortable with each other. You both want this to work, and you both want to show affection, all there is to do is to take that jump into the open.
Best of luck.