I am no pro either, so I may not be 100% correct here, but I will try:
No, the company will not buy them back (Unless they specifically say "Hey, we are doing a buy back...or maybe they do it on the sly for some other reason, but typically, no)
Maybe, one investor will take them all.
Probably, they will be split off to a few buyers, but you can still try and sell it off as one order and let the intermediary deal with that.
If I am wrong here, please let me know.