I used caulk I found at Home Depot that is used for concrete. I tucked backer rod behind the crack. I’ve had no problems for 4 years

Caulk between the slab & the house. The expansion joint may not be in the best condition

With a toothing chisel, and hammer to get all the weakened stuff out. Make sure you check both sides of the wall.

I’ve never tinted it. It comes in gray, or white. I use hydraulic cement for cracks in my foundation, and recommend it. It’s drying time is excellent, it doesn’t have to be dry, and tinsel strength is higher than concrete.

I recommend drylok paint for the walls. Anything moisture that comes through the wall will wick up, and either evaporate, or come down the wall. This will help with basement smell. A dehumidifier is always another solid idea.

When Andrew Carnegie, by far the richest man on the planet at the time, was asked how much money was enough? His response was just a little more.

Clair got student loans. There I solved your plot hole.