1) To print you will need a screen grabber. There are lots of them. Also some that will capture the Schema Desinger Window alone. Maybe we can built in such code into SQLyog.
2) I think that will be a major change. Anyway it is a good request! We will need time to discuss this
3) OK .. request understood. currently the LIMIT setting is used. You can change the LIMIT in 'preferences' to match your display.