I own a Remington 740 and a 742 and they both have good crisp triggers with no creep. Honestly, it sounds like some kind of gunk is hanging up the trigger or something broke. The trigger assembly is fairly simple and straight forward, and can be removed as an assembly by pushing out the two retaining pins that show through both sides of the receiver. If your not comfortable messing with it yourself, take it to a gunsmith. The rifle should have a much better trigger then you describe and yes it can be improved.
"Necessity is the plea for every infringement of human freedom; it is the arguments of tyrants; it is the creed of slaves." William Pitt the Younger