Yes, this does not ruin the Masuda method. The chances are the same when you exit out of the game and come back. Just do not remove any Pokemon from the Day-Care to continue the Masuda method.
You cannot save a Pokemon game during a battle.
you have to save at a Pokemon center in your gba game and then trade over Pokemon.
u save it
example based on these method
Transferring a pokemon to another save file is easy but will require another 3ds running the same game. you must transfer the pokemon to the other game, then switch save file then transfer the pokemon back.
You press the save button
you can use your master ball
save up
Unlike past Pokemon games, you have to delete you existing save file before you can save a new game. You can do that by holding Up+Select+B on the title screen (where it says Pokemon Diamond or Pokemon Pearl) Deleting the save takes a minute or two
Nope
Pokemon save
If you are using an emulator like VBA to play Pokemon Fire Red then you do not save as you normally do. You save using the emulator controls.