So you had a 4 day to end June and a 3 day to begin July? If so, then yes, they can drop your 3 day in July and place work on the 1st or the 1st and 2nd. So a red eye turn on the 1st is allowed.

Its a conflict and they can clean up the conflict by dropping a red eye in. Im surprised the company does not do more things for conflict cleanup, that is allowed by the CBA. Im assuming they dont have the staffing. I know a lot of pilots had their conflict cleaned with drops in this month, and not July. It seems maybe the company is getting tired of being minus double digit on the first 5 days of the new month and someone finally wised up and suggested they start to drop more from the preceding month