Upvote:3
Trying to conceal any of this might work if your biometrics are not on file, but sooner or later the lies will catch up with you.
Getting caught in a lie will cause a refusal of your application and for many countries also a ban for a long time.
Having been refused entry in the past will cause greater scrutiny of your application, but not an automatic refusal. The best way to make this greater scrutiny go away is if you get a Schengen visa approved and enter and leave without incident or overstay.