I'm making mutator that gathers stats and shows them to the players. For some reason, when i run it non-dedicated, only I see the stats, no one else. Why? All works more or less ok, but the 'replication' doesnt

I don't usually fuck with non-dedicated, since it's not a “real-world” situation.  Fire that mug up in dedicated and see what happens; if you yourself don't see the stats, then yeah: likely there's a replication discrepancy.

I started this 3 days ago, I did not know anything about unrealscripting previously. Can I send you what I have done next week, when I have commented it and worked away few functionality flaws?

Sounds good.