Hmm you should try to put Frozenmallet in his build to work with his passive , other then that not 2 shabby try to make it a bit longer and add more detail

i do something relatively same i start dorans blade for the hp/ad/lifesteal then get boots of swiftness since he is an AD caster he spell spams, i then get a brutalizer then an IE so his true burst comes out earlier i reccemend doing the same you get your IE way to late it needs to come earlier so you can start dominating 1v1 and get fed easier

Please Try before you downvote, this is my build that works for me, I love it and please try it and have fun. Thanks.