Jessica,

To answer your primary question, a b16 can handle 7-11 psi of boost w/ no problems if tuned properly with factory internals.
More boost is NOT your answer!

If you are looking to have better ets:

Fix your traction/motor mount issues 1st.
I highly recommend atleast a hasport top drivers side motormount for an ek w/ a bseries motor in it (si).
I also recommend falken azenis tires for drag radials because of the price & availibility...

a. Have your car tuned
b. Make sure your drivetrain tires/axles/tranny/clutch combo can handle the power you are putting down.
c. Practice launching on an empty road...

Make sure you know where to launch at without:
1. loosing traction to where you can't regain it without letting off the gas
2. launching so low you do not leave the line with any power hence your car falls on its face
After a few launches you will find an rpm range you can launch at.

What did your car dyno (max power), or have you even had it tuned yet ?
With 200-250 whp in a civic si you should be in the 13's.

If you need more horse power, look into getting your self some cams

If your still lost after reading this, you might want to consult a local professional like John at secret services.