It's hard to diagnose from afar, so bear with the questions
you're given here.

Two candidates you want to eliminate quickly: Broken timing
belt and old battery.

See
http://www.tegger.com/hondafaq/startproblems.html#checktimingbelt
to check the timing belt.

When you say you tried boosting it, do you mean you tried a
jumpstart?

A battery may still power the lights radio, etc. but not
have enough energy left in it to get the car started.
Alternatively it's so old it can't hold enough charge.

How old is the battery in years? Has it been jumped many
times? Who is the battery manufacturer?

I would start by first checking the battery voltage. If it's
less than 12 volts, then replace it.

See http://www.tegger.com/hondafaq/startproblems.html for
more troubleshooting suggestions.

Did you have the ignition switch replaced under the recall?

The contacts in the switch, cannot handle the current in some cases.>

-------------------------

If you've ruled out a dead battery, you probably need to have a helper
hold the key to position III and you tap the starter with a hammer (or
hatchet) per this thread:

http://www.hondasuv.com/members/showthread.php?t=20252&highlight=solenoid

If you're hearing no click, it's the brushes not contacting the armature.

'Curly'

I suspect a faulty ignition switch. With the key at II position, use a
remote starter, or simply a piece of 12 gauge wire, to power up the
starter's solenoid directly from the battery's posistive terminal.

If the starter engages (clicks) and turns, your ignition switch is
shot
If the starter engages but won't turn, the copper contacts are shot.
But i doubt if this is the case. You didnt experience this symptom
using the switch, you won't see it using a remote starter.

if nothing happens, check for loose ground connections.