1995 Honda Passport heater stoped working

Hi we just got this passport and we were driving around all day. It was runing really great no problems. But then I went to floor it an it went fine got up to seed very quick. Then I did it again I steped on it an right after I let off two lights came on my brake light and a battery light came on in the dassboard. Then I noticed my heater fan was off. Now nothing comes out of the vents the fan dont turn on an nothin comes out. Also the battery gage went down a little. We thought because of the battery light that came on the battery was bad so we went an bought a new one and put it in it did not make a difference. I checked all the fuses none were blown. What could of caused my heat to stop working and why did those lights come on?