Your lightbulb size would be 9003. If you go to an auto part store, and give them this number, they can pull two of them for you. They run about $10.00 a piece.
yes
The filaments inside bulbs are different wattages. It is best to replace the dead bulb.
The 2006 Honda Pilot has 4 headlight bulbs - 2 low beam and 2 high beam. See sources and related links below.
on two door 08 accord H11 low beam and 9005 high beam 4 doors 9006 low and 9005 high
High beam-9005 Low beam-9006
The high low beam switch is bad or the hot wire to the high beam is damaged or broken
yes both are same
If the high beam switch is broken that it should be replaced. When the unit is replaced the high beams will work again.
the inside bulbs are the high beams.
low beam 9006, high beam: 9005 according to http://www.sylvania.com/ConsumerProducts/AutomotiveLighting/LampReplacementGuide/
Bulbs blew
Possible that both dip beam bulbs have blown