Roman,

Neutral drops are when you rev the car up in neutral and drop it into D4 at a standstill, similiar to dumping the clutch in a manual but far more retarded and without any similiar acceleration gain. FYI, your fuel injectors shut off when coasting above 1100 RPM (no throttle) so putting it in neutral to go down hills isn't beneficial to save gas. I know that wasn't why you were doing it.

Buy a Helms (Honda factory service manual) for the pressure stuff on the solenoids or subscribe to Alldata, that's where I get my info from. Both have every specification imaginable. I have no idea what a 'Mitchell' manual is.

Obviously if your tranny is on its way out it makes no difference whether or not you abuse it now, you'll have to replace it anyway. $4000 is way too much to pay, you can buy a Honda reman new for like $1500. I bought a slightly used MY2001 tranny for $700 shipped and had it put in for $300.

If the tranny isn't slipping on the 1-2 shift (or engaging very hard) and doesn't slip at all when you floor it in 4th to drop down to 3rd or 2nd, maybe it's not the clutch packs or bearings but that solenoid. If I were you I'd buy a Helms (only $100 for both the regular sedan/coupe manual and the V6 supplement). The pressure might be something only a Honda dealer can check or maybe you can do it yourself, I've never done it so I have no idea. My Helms is in my car but it probably gives instructions on how to. Did you try a google search or a search in here for it? Also, if the hydraulic pressure is too low, what is the solution? I don't remember if that was in my instructions. Hope this helps.