you are just guessing, good luck there are 3000 parts in the car.
first off , you did post year,(goog), and accord but not the sub models
23 total, EX.LX.DX. and others.
you did not post the country you are in or the engine type
for your when sold new.
world wide, they had (wiki lists them all) engines.......
1.8 L F18B I4
2.0 L F20B I4
2.0 L F20B3 I4
2.2 L F22A3 I4
2.2 L F22B I4
2.2 L F22B1 I4
2.2 L F22B2 I4
2.2 L H22A I4
(CD6, CD8, CF2) 2.7 L C27A4 V6
your car has one of these.
2.3L I4 VTEC
3.0L J30A1 V6
200 hp (150 kW)
now back to those symptoms. (no out door temperatures stated, -50F Alaska or 80F Key West?)
1: wont start. (50 causes there are) less than 3000 ... for sure...
2: but you said the cranking was slow and in same breath, battery is not weak, this is key ,and contradictory.
a: if battery stays at 10v cranking its not week but if less IT IS.
b: if battery was good, and crank rpm below 250rpm then there are
other reasons, weak starter, one cylinder in engine, flooded with water. or engine seizures.... bad starter, etc.
sadly you did not try a JUMPER cable jump start to prove
the battery is car is good or bad. off a running other good car.
if it started ok, that is cranked ok we would know your battery
is bad or only just discharged.
and if it cranked ok wed know the engine was not seized and the starter is in fact good. all that from just a jump, amazing huh?
if you can get past robust cranking we can work no starts.
no starts are a total different thing,
Good engine, good EFI (and spark)
cranking is a unique system on the car, and most be dealt with at its own level.
but do tell us what you are driving, for better answers
the above is just basics.