Sounds like a lot of things are going off-track and a conversation is definitely required.
Both of you have a right to a life. It's OK for him to go to every home game if you get the equivalent. If you don't have an equivalent, decide what you would like to do with 3+ spare hours to yourself.
The meals thing - no, you can't force him to eat differently but like I said, nobody can healthily exist on the sorts of eating habits you have described. You say he's tired when he gets in - would he really prefer to start deep-frying chips (surely requires potato prep, waiting for the oil to heat etc?) over sitting down immediately to a portion of homemade, pre-cooked chilli & rice, spag bol or similar? He would be a seriously unusual person to say "No - you can keep your steaming plate of home-made chilli & rice. I'm going to nibble on cheese and think about firing up the deep-fat fryer"...
It's been said so many times but you really can batch cook so you're not cooking every day. The Hairy Bikers cook books are stuffed full of great, filling meals, and a lot of them can be made in advance. Nor am I suggesting you do it all. I think you should handle it between you. As you're at home more, it makes sense for you to probably undertake the lion's share - this is not sexist, it's practical and I would say the same if your DH was at home and you were at work - so you cover 5 healthy meals a week, DH responsible for 2. Sometimes you can get good offers on pre-prepared chicken breast meals which you then only have to bung in the oven and chuck veg & potatoes in a pan to go with. Even some fresh, filled pasta & pesto or fresh sauce, garlic bread from the freezer and a thrown-together side salad takes less than 7 minutes to cook. (that's the garlic bread. Pasta is 4-5 mins boil). Usually lots of good offers on the pasta aisle too.
Then the issue of lie-ins. I think if you made an agreement in advance who was doing what, it would be a lot easier. Eg decide for definite that when someone is having their lie-in, the other gets up, does nappies and breakfast and dresses the children, so there's no misunderstanding. Every so often it will go wrong if someone is running late but overall, that's the deal.
The thing is, all of this is useless, unless you actually want things to change. I have a friend who is probably 4-5 stones overweight and is constantly moaning about how awful she feels, can't find anything to wear etc. However she's just not interested in changing her eating habits. So she kind of wants it both ways - to be slim but not put any effort into getting there. If she was fat and happy, fine, but she's fat and unhappy. This has been going on for years too. Another friend's house is a tip and she hates that - but she won't tidy it up, or have anyone help her clean it up. Old stuff is piled up in her garden and all it would take is a trip to the tip - she has a car - there's a tip 10 mins away - will she do it - No.