I got the same board from the same seller, and I have to say I'm surprisingly fond of cherry blacks. I just knew I'd hate them and that I'd want to replace them with the browns off another board (a less than 100% functional mx11800), but I'm rethinking that now. No reason to tear it apart until I'm no longer enjoying the blacks.
As for your situation, you should also just open the case and get anything off the PCB / Plate or under the switch mechanisms that might have fallen in over time. Mine had a single paper clip in the number key pad on the right lodged under the keys. You might find that you have a foreign item under your keys as well. Many here have reported these MX11900s from chicagoliquidators to have multiple paper clips and straight pins under the keys along with lots of fuzzy board chow. If the board is relatively clean, as mine is, then a little shot of compressed air to clean off the PCB is probably not a bad idea. However if it's covered in gunk and debris, a good cleaning is in order before you give up on it.
If the switch IS dead, then perhaps there's another key on the board you never use... like the Alt Menu button (mouse right click context menu) in between the right ctrl and right windows key that you could trade out with the faulty scroll lock and have a board that is, at least for your purposes, 100% functional.
If the cleaning and switch inspection yields no results, I'd contact the seller and tell them about the problem, and see if they'll ship you and exchange board. If the item doesn't operate properly and is sold as a working unit, you really should give that a shot before bothering with switch dismantling, swapping, etc...