for part A...hope this helps
An example of such a targeting sequence is the so-called nuclear localization signal (NLS), which consists of two short stretches of basic amino acids divided by a 10–11 amino acid spacer region. This sequence of amino acids allows a protein possessing it to bind to nuclear localization receptors found in the nucleus . Once a protein containing an NLS signal binds to a nuclear receptor it is no longer able to freely diffuse and becomes "localized" to the nucleus.
The interest that exists in NLSs is not only for investigating endogenous purposes, but also for the engineering of other proteins to be imported into the nucleus. The signal is small (4-8 amino acid residues, or 12-24 base pairs), therefore it is easily imbedded in the sequences of such reporter genes as eGFP and beta-galactosidase. Expression of the protein in the nucleus means that it is due to your gene being expressed in a cell, which is of some concern with proteins targeted to the cytoplasm. These proteins that lack NLS targeting can be translocated across intracellular space and be expressed in other cells. This means that the protein that your gene is creating is giving false positives, in a mechanism known as pseudotransduction. The NLS targeting of a protein traps that protein within one cell, and does not allow for this phenomenon.
Please read details at
http://everything2.com/title/Nuclear+Localization+Signalfor part B
how does the protein end up in mitochondria?
the protein itself is created within the ER and reaches the golgi apparatus from where the signal is added the KDEL and then targeted to the site, in this case it the KDEL which will automatically drives it to ER lumen. this is because KDEL sequence is found on proteins that are supposed to reside in the ER lumen after synthesis. If by chance a protein with the KDEL sequence is packaged into vesicles released from the ER, the golgi will send it back to the ER.
for the protein to be sorted and packaged to the mitochondria we need a different protein tag.
Mitochondrial matrix
The signal peptide that directs to the mitochondrial matrix has a sequence consisting of an alternating pattern with a few hydrophobic amino acids and a few plus-charged amino acids form. It is usually called the mitochondrial targeting signal (MTS).
hope this makes sense....