Telomeres in DNA replication

When DNA replicates the 5' end of the daughter strand is shorter than the parent strand as DNA polymerase can only work in the 5'-3' direction and RNA primers are eventually removed.

5'__________________________3'
3'_______________________5'

If this divides, we SHOULD end up with:

5'__________________________3'
3'_______________________5'

and

5'_______________________3'

5'____________________3'

So we still have ONE cell with the full strand of DNA and one cell with missing telomeres.

so far is this correct (meaning: is it correct to say that the telomeres are NOT removed from the parent strand, so in each generation of divisions, there will always be 2 cells with complete parent strands?)

Question 2: Are sticky ends (un-paried bases) removed from a DNA molecule as they probably interfere with coiling?

Question 3 is telomerase active in non-embryonic stem cells?