would my i3 Alienware X51 run starcraft?

i just baught a Alienware X51 i3 4th generation everything this blackfriday about a month ago and i LOVE it! i got a REALLY good deal on it and for what i do (facebook, you tube, school work, and email) its perfect for me please dont hate on it cause its an alienware i enjoy it and i do play Sims on this aswell and i dont game hardcore AT ALL! i just want to play some sims roller coaster tycoon and maybe starcraft2? these are my specs will Starcraft 2 run WELL im NOT looking for MAX graphics cause my monitor doesnt even do FULL HD anyways but will i be able to run it with decent graphics and NO lag? thanks in advance and happy holidays to all!

4th generation intel core i3-4130 processor (3MB cache, up to 3.4 GHz)

6GB DDR3l 1600mh (i think this is ram)

1TB hard drive 7200RPM SATA 6Gb/s

NVIDIA GeForce GTX 645 with 1GB GDDR5

...and thats all i got for performace that looks important to me. im running windows 7 and the ram is upgradable to 8GB if needed and my monitor does 720P resolutuion so thanks again and again happy holidays to all!