Determine the answer of the following question

Question- Two level system. The upper level of a two level system has the energy e and is strongly degenerate with degeneracy in g 1 while the low level is not degenerate.

Part 1- Write the partition function for this system.

Part 2- Calculate the free energy and the specific heat. Plot specific heat vs. energy.

Part 3- Find the characteristic temperature where specific heat has its maximum.

Part 4- What is the characteristic value of specific heat at this temperature?

I want assist to calculate the free energy and the specific heat.