Are you (or the person concerned) still living in Delhi? If so, then it would turn into continuous form:
I have been living in Delhi since 1985.
Sachin Tendulkar's batting style has influenced every Indian batsmen since 1985.
Sounds ok to me.
The emphasis is put on the result of the activity, not the activity itself.
You could also use continuous here:
.....batting style has been influencing .... since 1985
In this sentence you put the emphasis on the activity. It doesn't matter whether the activity has been finished.
3. I've just met her.
It's a new information. Imagine you are phoning a friend "Oh, I've just met Judy." Even though the meeting took place in the past, even if it's only 5 minutes ago, it's not wrong to you pres. perf.
You could also say
I met her (yesterday, 5 minutes ago). (emphasis = time, it's finished)
It's also a question where you want to put the emphasis on.
I've just met her. (emphasis = activity, it's finished as well)
This might be interesting for you:
Hope that helps