Can anyone help me understand the Motrtensen-Pissarides model?
To get things started:
The reservation wage is the wage that makes the worker indifferent between taking a job and getting V_e and not taking a job and getting V_u. To find it, solve for the value of w that makes V_e = V_u.
Solving the entire model is not possible given the info you provided. You need the block that describes the firms.
My sense is that it would be most useful for you to read about the MP model and then post more specific questions based on a complete model. A good reference is Romer's Advanced Macro book.