No I would not give that new food to your rabbit! He should be getting a timothy based pellet such as Oxbow Bunny Basics T and only 1/8-1/2 cup depending on his size. My rabbit is just under 4 lbs and I give him 1/8 cup pellets a day. He should be getting unlimited timothy hay and 1 1-/2 – 2 cups of greens. PLEASE see Diet under Bunny Info above for a complete list!!!

Hi bunnytowne!  That food is actually not so good for your bunny.  In fact the more junk that is in it, the worse it is and you are right about the corn, it contains a lot of sugar and starch and can cause a blockage and is not good, just like juts & seeds too!  Stick with a good timothy-based pellet.  here is some info on that:

UNLIMITED HAY : This is extremely important for a bunny’s digestive system. Always have it available.  My bunnies eat more hay when they have a variety.  Their favorite it is Bunny Blend with six different types of fresh premium hay.
HAY TIP: A great trick that encourages more hay consumption is to offer a little handful a few times a day.  For some reason this entices them to eat more, even though they still have plenty of hay in their rack.  Maybe it’s the whole "newness" factor, I don’t know but it seems to work well

Avoid pellets with nuts and dried fruit.  That’s like feeding snicker bars on your salad everyday.  Stick with pellets that are Timothy based.  Some alfalfa based pellets do have a high fiber content, but most are still  too high in calories, protein, and calcium for many adult rabbits. 
PELLET TIP: A rabbit’s system is meant for foraging.  Instead of putting your bunny’s pellets in a bowl that can quickly be consumed, spread his pellets out all over his pen or cage, either throw all over, or hide in specific place.   This way he can’t consume everything at once and it will add a bit of exercise and entertainment.

GREENS: Minimum 2 cups of chopped greens per 6 lbs  See Veggie/Fruit List from the House Rabbit Society.

FRUIT:   1 oz. to 2 oz. max per 6 lbs. body weight.  High in calories, but still a better treat than some of the "junkfood" treats that are sold at pet stores.  See Veggie/Fruit List

I second the Oxbow. you can even order it direct from their site, (which actually offers bigger bags than the stores I’ve seen them in, also their hay is the best hay I’ve seen so far {havn’t tried binky bunny’s but heard theirs is awesome too})
My rabbits specialist vet advises against the mix stuff.