This info is best of my knowledge:
No rule for having loaded weapon, and you do not have to notify an officer unless he asks.
However,I did check Carry License Reciprocity State By State at the following site: http://carryconcealed.org/reciprocity.html
It dosen't appear a concealed permit from Ohio is valid in Alabama, here are the states it lists:
AK, CO, FL, GA, ID, IN, KY, LA, MI, MS, MO, NH, NC, ND, OK, SD, TN, TX, UT, WY
This info was as of 06 so not sure if it's changed or not. May be worth a phone call or 2 to find out for sure.