You own the car and the jack. Does it work?

www.slhonda.com 's has an online parts site where one can
compare part numbers for Hondas. You'll find the jack listed
under "tools-jack" in the bumper etc. section.

The 2002 Honda Accord LX shows two jacks that work for the
car. One of them has the same part number as the 1996 Accord
LX.

The jacks look the same as the two jacks I use on my 91
Civic's jack. One of these jacks came with the car. The
second I bought at a junkyard and is rated a bit lower but
still well above the weight for my  91 Civic.

All the jacks I mention above are the same in appearance.

I think I'd just compare the weights of, say, a 2002 Accord
and a 1996 Accord and then make a decision from there.
www.edmunds.com might have the weights for each, under a
"specifications" section.

You're probably okay, but I too would check first.