I need pointers on:
*1) how to ignore people better without them knowing that I am ignoring them *
If you avoid someone when you're unoccupied, it appears to be more obvious that you're ignoring them. If you're going to be in the presence of someone you want to ignore.....utter a quick INDIFFERENT "Hi/how are you?" and then look like you're busy (read a book, tend to some chore or errand). When you appear busy, it looks more natural and not like you're trying too hard to ignore the person.
2) how to not get mad quickly
This is something that I need to work on at times as well. I'm generally a patient person, but occasionally I can get snippy pretty quickly. You could follow the Islamic recommendation (sit down if you're standing, lie down if you're sitting, drink a glass of cool water, do wudhu and pray namaz, seek refuge with Allah from shaitan). Or take a deep breath and walk away from the situation and resume the discussion when you've cooled down.
3) how to not pick on people when they say silly stuff
It can be VERY TEMPTING to pick on people when they say silly stuff....especially if the person is constantly displaying foolish behavior. But try humbling yourself by REMINDING YOURSELF of all the times when YOU have said silly/embarrassing stuff.
4) how to take people seriously when they are being overly dramatic
This one is a bit tricky because it depends on the person and the issue. If the issue is a serious one and the person in question is SERIOUSLY impacted by it....then you should consider showing some sensitivity to their problem. By remaining calm and offering them some suggestions on how to resolve their problem, you might be able to provide some relief. OTHER TIMES.....if you KNOW that the issue is a PETTY ONE.....and is being made a HUGE DEAL by someone whom you KNOW has a constant craving for attention and being a drama queen......then you might want to consider not getting too involved.