Is it okay to be shit at bouldering?

I started bouldering a month ago and today was my 7th session. Before that I have never done any sport. Also I am overweight and this was the reason that until now I didn’t dare to try things. I think because of my weight it might be harder for me to climb but I am trying.

I love how I feel when I am climbing and after the sessions. I really enjoy when I able to reach the top of the route however I always do the easiest ones.

Usually I can reach one top in 2 hours and trying bunch of route but despite my several attempt to finish a route I only reached one.

I had maybe 3 session when I couldn’t reach none because I was scared from the height or I didn’t have the strength. I feel little bad because around me every climber is super fit super good and it seems like they don’t struggle.

My questions are: Is it normal or okay to not reach any top a climbing session?

How do you cope with fear of heights and falling?