Put new linoleum in and while moving refrigerator back cut small cuts in the floor is there any glue or suggestions for fixing the floor?

Yes, there is a special linoleum sealant glue, meant for joins in lino, it will do very well in this case. I haven't bought it for some years now, but when I did, I got it from a lino supplier and it was in 'toothpaste' like tube for about $ 5-6 .