For separation

My wife and me for both of us. This is our second marriage. We are married for 3 months only. I don't feel intimate towards her because of her small small things like not washing utensils properly and she tries to play dumb whenever I have asked her to do the work. She is lethargic when it comes to doing work in house. I asked her to work so that this helps in her personality growth and becoming independent. I am willing to get her admission for graduation so that it helps her and me. I tried to explain everything to her politely. But she just doesn't understand and there is a huge communication gap. She takes all the things in negative manner and tries to irritate me an d my family. Should I talk to her and tell her about getting separated. We are Muslim's and still I drink alcohol on weekends. I have offered her to drink and she also had a beer with me twice when we were in a restaurant and a pub. Will it go against me. I never forced her to drink. I drink beer on weekends only. There are lot of petty issues of her which irritates me. Also, when someone comes in the house she keeps staring at them like she is a dumb or something. What should I do.