Those are the correct remotes for the pre '03 keyless system. Check the serial number on the back of each remote which indicates the code that has been set into the remote. The numbers must match. If they don't, chances are that you have a patched together system (EBay parts) rather than a package purchased from Acura. Since your 'service manual' does not match the remotes I am smelling a collection of parts rather than a package purchased from Acura.
If the serial numbers match, do you know that the system ever worked? The keyless unit will be located on the panel just under the glove box. It is actually attached to the bottom surface (outside) of that trim panel so it is easily visible by just getting on your knees and looking up under the footwell. As shown in the video, it will be a little square black box about 80mm x 80 mm. If the box isn't there you know why the system does not work!
Assuming you have a master, the next thing is to remove that panel under the glove box and detach the keyless unit from the panel and check the number on the bottom of the unit. If the number matches the numbers on the remotes then you know that it is a matched system probably supplied by an Acura dealer. Assuming everything matches, the next thing would be to check the fuse for the master unit. The 3A fuse will be in the interposing harness that ties the master into the vehicle wiring in one of those ATC in-line fuse holders. If the fuse is not blown and the serial numbers match it should work. Make sure that the antenna is firmly plugged into the master unit.
I also have a 2000 with the Acura keyless system installed. If you run into problems I may be able to find those instructions (I habitually do not throw stuff like that away; but, I am not sure where it is because it is not stuffed in with my service manuals). If you need it and I can find it I will scan it and attach the scans to a post since you are not yet eligible to use private messages.
Let me know.