Driving from cold start Auto gearbox sticks in low gear for a couple of miles before shifting

The auto was notorious for clutch pack failure. Tolerances were tight in the inner workings and this caused inadequate oil flow and poor cooling. Sooner or later the auto transmissions fail. You could have the transmission rebuilt but that will cost a bit to do it so it wont break again. I might recomend going back to honda atf and changing the fluid again. If that does not work try an additive oil for the transmission. I had some sucess with the recomend product.

last resort, have it swapped to a manual transmission. This is a cheap alternative as f series transmissions from the accord can bolt up to the h22 and can be found cheap at the expense of higher gear ratios.

Check your ignition coils. One of mine was bad and when I replaced it, the shifting issue stopped.

check the gearbox oil to start with as this can cause these types of problems, also have your cars ecu read with a fault code reader

Sounds like low on oil but i dont think this year has a dip stick and its a dealer only job to check the oil level but with a funnel and a breather on top of the gearbox you may be able to add a litre and try it ??

check your linkages from your gear stick to the gearbox .need adjustment.and check the kick down cable ,at the throttle needing adjustment.

Make sure you have sufficient gear oil (ATF) in the transmission, an Auto box uses oil pressure to shift gears. Often after the trasnsission has been removed and re fitted it will work out all the air within the first test drive thus the oil level drops too low to shift gears.

Sounds like a bad speed sensor. Perform an ODBII scan soon. ECU should delay upshift until coolant temp senses warm up. It will not work right unless a signal is present from speed sensor.

rip auto box out and fit a manual gearbox

Many times this is caused by either a sticking electronic shift solenoid in the transmission or the trans fluid and filter need to be replaced, has the trans been serviced, it should have been done at 60,000 miles.

try positioning the gear lever at P positon , the remove the selector cable from the gearbox then push the selector mechanism til that it wont move, fit the cable back then try it out ....hope that it will help