I'd like to see a section on the home screen where you can pin rules that you frequently have questions with.

This would function purely as a quick access link to specific rules.

For example, my group always has questions with grappling since it only comes up every once in a while. Instead of having to navigate through and find the rule, I'd like to have that info right at my fingertips.

I'm going to be happy when the search function comes to the Compendium, it isn't entirely intuitive. I often pass the burden of looking up a rule to the player who asks the question about said rule, and after rooting around the SRD as posted, some things are sort of nested in places you wouldn't think of. IE; Passive Perception is only mentioned in the in the sidebar at the bottom of the DEX page instead of the WIS page where I would think to look first (being 10+wis modifier).

Totally agree. Everything should be searchable or they're not taking advantage of the medium.