Colleges in Delhi

Yes, you can use, some fee is payable.

Yes, you should, it is necessary.

Looks like you will get a seat.

You can apply under the quota of non Delhi student. If you fall in merit, you will get a seat.

For B.A. LL.B. In VIPS use CLAT and IPU CET score. For General Delhi :
for B.A. LL.B. -5846 rank
for B.A. LL.B. - 8515 rank
For General other state:
for B.A. LL.B. -830rank
As per previous year cutt off, you can estimate cutt off expected for this year. I will suggest you to explore more on B.A. LL.B. As it is more lucrative and career assuring. Best wishes.