Capital loss carryover

Am I right with these, if I have capital loss carryover from prior year:

 

Capital losses deduction in a tax year is limited to  $3,000 including applying the carryover from prior year?

Say, if we have a $4,000 loss in a tax year,  we could only deduct $3,000 and the other $1,000 add to carryover of prior year?

If we have no gain or loss in a tax year,  we can deduct $3,000  carryover from prior year to our earned income?

Thanks