Live or dead mouse? A live one is much more exciting. Warm too. You two could share the pleasure of hunting it round the room, but there is one great disadvantage. It's not big enough to share, and do you have the self control to step back and let him eat all of it?
Dead? Yes, but two of them. Each placed in a separate bowl at a sensible distance. We cats have a tendency to want to eat whatever is in the other cat's bowl, rather than our own. This can lead to discord!
How to court him? Well we cats have a series of ways of flirting. We can roll on our side making come-on noises. We can rub against the feline loved one. We can twine tails. We can also - and this is the ultimate explicit come-on- lower ourselves on our front paws, leaving our backside higher up. This posture is ready for love.
And if you swivel your tail to one side, this a direct invitation. If he ignores this, then there's nothing more you can do. And, if he lives with humans, he might. For him, the snip may have made romance impossible. Like it has for me.