Unless you are training to be a professional, do whatever you can do consistently.

I currently do 1 compound and 2 isolation exercises on each day, with some forearm work. I used to do 5-6 exercises per day but it felt too exhausting and I needed a deload after a few weeks.

I am seeing good progress with both routines. It might be a little less in the new one but I have much more energy throughout the day.

Where’s the pull?

Lots of people do a lot of extra exercises to get extra volume that just makes them tired. Looks fine to me.

Shoulder press and incline bench have overlaps but they’re sufficiently different. You can do the same primary (compound) exercises each day but you’ll want to change them out every 8-12 weeks to switch things up a little. But you’d do that anyways if you did different exercises.

The volume seems pretty good considering that you have those compound movements in there which count for a bit more than isolation exercises.

The variation is probably optional, you're still in the beginner stages you'll pack on muscle just brushing up against the weights. Since one of your goals is improving pull-ups I think you may be better served doing pullups more often. Maybe swap out dumbbell hammer curls on pull day 2 for more pullups?