Welcome to the forum.
We get questions fairly frequently about oral sex and risk associated with HIV and other STDs. The quick answer always is that oral sex is inherently low risk for all STDs and zero risk (for all practical purposes) for some. Hepatitis B virus (HBV) is in the latter category: low enough risk that you can consider it zero.
Here are two threads that go into detail about STD/HIV risks from oral sex; each of them has links to still more discussions. Please take a look:
http://www.medhelp.org/posts/STDs/risk-assessment/show/1999445
http://www.medhelp.org/posts/STDs/Simple-question/show/1723730
Of course all sexually active people should be immunized against HBV; since you are particularly concerned about it, you definitely should be vaccinated. Then you'll never have to worry about catching HBV by any route, either sexual or by blood exposure.
Itching and nasal congestion are not symptoms of hepatitis B or any other STD. Sounds like you have a cold or allergies, plus another logical explanation for the hand itching.
I hope this has helped. Best wishes-- HHH, MD