I love 'impromptu' barbecues, so not being consulted in advance would not bother me. However I would not bother to tidy the house or cook extra food and we always shop together anyway. I would buy some ready prepared salads and rolls etc. If he won't share the shopping, tell him you won't have time to do it as you're working and send him out with a list.
What is more concerning to me is the way he manages finances. If, as would appear from your post, you each keep your own money separate, then you need only to save for your half of the mortgage. Remind him regularly that he will need to save for his half. As he keeps his own money, you can't really decide for him how he spends it.