The Universe has been expanding since the BB (expanding space is evidence of the BB) and hasn't stopped (you can look up doppler shifts and universe expansion for more information).
As for the speed, there really aren't any external forces acting against a galaxy or star outside of gravity which tends to be weak.
As for the topic there are three competing theories:
1) if the density parameter is less than 1 the universe will expand forever. Star formation will lessen as a result.
2) if the density parameter is above 1 the universe will close in on itself
3) if the density parameter is equal to 1 no crunch or endless expansion.
Density parameter = actual density ÷ critical density
The critical density is the amount of density needed to close the universe. This all stems from the Friedmann equations, so you can look into that for more information.
But there is evidence given by super novas (check type 1A super nova) that the universe is accelerating in its expansion.
That is such a dumb statement.
