First of all lets start with shop #3. STAY AWAY FROM THEM. If they happened to drop the pan on a transmission that has no pan and found “Forward” clutches in there then you need to not darken their doorstep. Honda 3 shaft transmissions do not have “Forward” clutches. They have four separate clutch packs, one for first, one for second, one for third and one for fourth gears. Reverse uses the 4th clutch and an idler gear to complete reverse engagement. The transmission case is an aluminum 3 piece case. Shop #2 doesnt sound right because if you were to remove and disassemble and reassemble this transmission its going to cost you more than $750. This leads me to believe that they are going to do something else OTHER than disassembling and reassembling. Shop #1 although the most expensive sounds in the ballpark with this. What I believe that has happened to yours is the converter clutch has come apart and trashed the transmission with clutch material. This is very common in these Honda’s. Converter clutches, shaft bushings are very common failures. It sounds like shop #1 is the one you should be inquiring with. What trouble codes did the shops pull from the computer??
transman