I'd encourage you both to sit down and decide what a great relationship looks like first, so you are on the same page. Especially around healthy communication.

Then make a list of the things that bother you (each of you).

Then go down each one and really listen why that bothers either of you without getting defensive. Instead of getting upset say "So what Im hearing is..." "and I think this means..."

Then both of you agree to take responsibility for communicating in a healthy way what you are wanting versus blaming the other person.

Practice that. Literally take some events from the past and practice a new way of communicating that reflects a healthy way...in the very least you will get a good laugh but more importantly you'll be learning a skill that is priceless.

Also, sounds like both of you need to learn how to bond. You do this by looking in each others eyes a lot and listening really well and not interrupting...but rather seek to understand each others perspectives - whether you agree or not.

Learn to notice when you need to be attentive to someone versus being on the phone. Don't allow your phone to dictate your happiness. Your social anxiety will go away when you learn to look at people and just be present with them, listen generously, and be curious about their experience. Life is a lot more fun as well.

Hope it helps, Ed Ferrigan