Hi. fenglish
As far as your first question is concerned, the meaning of be engaged into something e.g. an activity means that you take part in this activity, you participate in it. (hope you understand the words).
Account here, has to do with banking. Someone has a bank account, simply means that someone saves money and invests it in a bank. Or -this is another example- if someone wants to be advertised, he adresses to an advertising company and the company opens an account.
And as far as your last question is concerned - no, I' m afraid your sentence wrong. Both as grammar and structure. If you want, you can describe me what you meanby giving me an example.
Hope I have been helpful.![]()




