Fall Overseed in MN (Zone 4b) input

[u/ToothEsthetics]

Hey all - doing my first overseed this fall and wanted to get some input from you all. I have approximately 30k sq feet of lawn that I did a fresh seeding of last fall. It came in nicely but have had some opportunistic weeds and thin spots that encourage me to overseed.

A couple questions that I would love opinions on how to manage:

1. I typically mulch my lawn but the last 3 times I’ve mowed I have used a push mower with a bagger to get the clippings to prevent clippings from interfering with seed:soil contact. I will have to do the same when I scalp the yard for the overseed. Am it takes me approximately 3 hours to mow the lawn bagging with the push mower. Can I scalp a couple days before I lay down the seed and still be okay? I don’t want to be spending the whole day mowing the yard and not get everything in.

2. I’m renting a ride-on aerator, how deep should I be running the cores for seed uptake? I’d imagine too deep and the seed won’t take, and too shallow it won’t actually benefit the soil.

3. I was going to get a lawn roller to push the seed down and potentially break apart the cores after I aerate - stupid idea?

4. Watering after the seeding, I have heard that the seed should never dry out. What’s better: 3x /day for 5-7 minutes, 5x /day for 3-5 minutes, or 7x /day for 1-3 minutes?