It might be that there was less light available so they laid less over winter- especially if they are heavier breed birds. My 9 girls just turned a year, we don't supplement light, so until recently we were only getting a couple/few eggs a week, and now 7 a day within the past 2 weeks!
As for them staying in the coop- I found that previously when my free range birds didn't want to roost/lay in the coop, I would have to extremely vigilant about moving them back to the coop, and locking them up in if for several days to break the habit. Try offering favorite treats in the coop about a half hour/hour before sunset, that way they aren't in sleepy mode, locking up behind them. Chickens love to roost in high places- the rafters are probably higher than the coop roosts- so feel safer to them, even if it really isn't.
As for them staying in the coop- I found that previously when my free range birds didn't want to roost/lay in the coop, I would have to extremely vigilant about moving them back to the coop, and locking them up in if for several days to break the habit. Try offering favorite treats in the coop about a half hour/hour before sunset, that way they aren't in sleepy mode, locking up behind them. Chickens love to roost in high places- the rafters are probably higher than the coop roosts- so feel safer to them, even if it really isn't.