Being 'fitter' and 'stronger' will aid your batting , but in what context you use both terms are relative. For example is training strength for a 1rep max going to help your batting, probably not, is marathon running for fitness going to help your batting.....again probably not.
Training with sub max loads, for strength/power endurance in a gpp programme would be a good route to take along with an emphasis on mobility, to which degree depends on your age and injuries.
Why have you selected those weights/goals out of interest?
I picked those kind of numbers because I thought they might be relatively realistic I'm at 110 for squat 80 bench and 110 for deadlift that is all for 5 (I'm following a 5x5 programme) I'm doing hit based circuits classes because I'm guessing they are closest to a match situation. I'm 25 pretty injury free had a nasty knee injury a few years ago which has cut my footballing career short.
The main aim of it all is to improve the weaker areas of my game power hitting and if and when I can bat thorough a whole innings without being too exhausted.