Medial Tibial Stress Syndrome. Maybe??? (not a Dr.)
Shin splints. This is the reason I can't run and part of the reason I cycle as much as I do. I am sure that I could probably alter running form in order to get rid of them, but I don't try because I hate running and like to ride a bike.
As far as treating them, the best thing is prevention because once it starts you are in for several weeks of healing. In your case this would apparently mean not being on the bike. If it is only happening while grinding start spinning.
As far as cleat positioning, that is a huge topic with as many different answers here as there are members. I'd get a reputable bike fit before taking the advice of internet forum goons like myself. If that doesn't work, then maybe inquire here as to what others have done.