Its all normal. Im 36wks and im going thru the same. Its just getting ready for baby since its close to due date.
Its all completely normal. Some women leak more colostrum then others. I leaked a lot with my first 2 kids. Get some disposable breast pads so u dont ruin ur shirts hun.
The not feeling full part is normal. I don't know of anyone who leaked before giving birth. Your milk doesn't come in till a few days after you give birth. You should only have small amounts of colostrum right now. You may want to bring this up with your Dr. Also you can buy nursing pads to put in your bra to prevent anything from leaking on to your clothes.