It would depend what you want from your flock. I don't know if you have an Easter egger cockerel, but that could add a lot into your flock like colored eggs.
I'm not sure what the lav orp would do with coloring, but that would be awesome too.
I'm really into colored eggs so I would choose a cockerel that would color my eggs.
I don’t really have specific goals. Just thought it would be fun to hatch and also have a protector.
The Barred Rock or one of the red cockerels should make sex links depending on what I put them with, right?
I do have one EE chick and I wasn’t sure on it at first but now I’m thinking it looks like a cockerel? It’s that blotchy red one and I read blotchy red is not a good sign. Plus his comb and cockerel stance.

But he seems to be pretty subordinate and I’ve read the subordinate ones are better to keep?
The Lav Orp I bet would make some awesome colored chicks!!!

And yeah, the EE I think would do a great job of that!! Or the Andalusian. They lay white eggs.
The others are all brown egg layers but might produce something cool with my EE or Leghorn.
Or actually the Welsummer might be cool. They lay speckled eggs. Maybe I could keep the Welsummer pair.

My current hens/pullets are:
4 year olds (October 2015):
2 Black Australorps
2 Buff Orpingtons
2 Easter Eggers
April 2019 pullets:
1 White Leghorn
1 Speckled Sussex
1 Delaware
1 Partridge Rock
1 Easter Egger
Plus whatever pullets I have in this current batch of chicks. Definitely one Welsummer and hopefully a Buff Orpington.
I don’t even know if a rooster would even mate the older girls? Plus they’re not really laying much anyway and I’ve read about defects from older hens?
But I’d love to hatch the one EEs eggs. She’s an amazing bird and great layer even in winter.
I should get some very colorful chicks too if I hatched their eggs!!!
Although I doubt any would make sex links? Except maybe the Delaware?
Not that it matters. Just curious.
Should get some excellent layers from the Leghorn though.

The chick breeds are
1 Black Australorp
1 Blue Andalusian (wound up with a black)
1 Buff Orpington
1 Lavender Orpington
1 Rhode Island Red
1 Barred Rock
1 Easter Egger
2 Welsummers (boy and a girl for sure)