You should register...especially if people are asking. Plus, if you register, then you usually get around 15% off for anything you buy to complete your registry:-). A lot if my friends are having a "sprinkle" instead of a shower for their second or third child...I think it's a great idea:-). Congratulations!
Yes go ahead and register free baby gifts
I would definitely still register for the discounts and to be able to tell people just in case they wanna send you a gift. If you want to do something small to welcome baby, I've been hearing a lot of people talk about a "Sprinkle" instead of a shower. People would buy small stuff like diapers,wipes,bibs, and onesies. Just something to think about.
Its not weird if people are asking. Plus I moved halfway across the country right before finding out I was preggo so I know nobody here but I still did one because right before baby due you normally get 10% off your registry to finish the items. Meaning you get a free discount so I'm all for it. Best of luck and congrats on your pregnancy!